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Licensed Unlicensed Requires Authentication Published by De Gruyter 1996

Differential inclusions without convexity: A survey of directionally continuous selections

From the book World Congress of Nonlinear Analysts '92

  • Alberto Bressan
https://doi.org/10.1515/9783110883237.2081
From the book
World Congress of Nonlinear Analysts '92
World Congress of Nonlinear Analysts '92

Chapters in this book (363)

I-IV
Preface
Table of Contents
List of Participants
Investigation of Oldrojt's viscoelastic model when viscous coefficient tends to zero
Nonlinear PDE problems in electrophotography
A special class of maximum principles with applications to nonlinear boundary value problems
Nonlinear mathematics in nonacademic settings
Motion of a graph by nonsmooth weighted curvature
Some results on heat flow in electric conductors
Global classical solutions to fully nonlinear wave equations
Solitons and domains in dipole chains
Nonlinear instabilities of steady and oscillatory wave convection in a rotating system
Bifurcations and chaos in predator-prey models with delay
On a new variant degree theory of mapping and its application
Solvability of semilinear operator equations and periodic solutions of differential equations
Solutions of semilinear equations in cones and wedges
On a nonlinear elliptic problem with subcritical and critical Sobolev exponent
Existence and bifurcation results for some semilinear elliptic equations on ℝN
Some remarks about the existence of positive solutions for elliptic systems
Sub- and supersolutions of nonlinear elliptic and parabolic problems
Positive solutions and boundary value problems of singular and nonsingular type
On the asymptotic behavior of laminar flow through a porous pipe
The monotone method for third order boundary value problems
Duality and variational principles for nonlinear hyperbolic equations
Decay and global existence for some nonlinear dissipative wave equations
On the philosophy of the spectral variable
Wave propagation in uniaxial nonconducting nonlinear thermoelastic solids
Approximation of dissipative hereditary systems
Stefan problems in several space variables with dynamic boundary conditions
Existence and multiplicity of periodic solutions for semilinear parabolic equations
Boundary integral solution of a nonlinear heat conduction problem
On the existence of travelling waves in reaction–diffusion systems
The strong maximum principle for cooperative periodic-parabolic systems and the existence of principal eigenvalues
Blowing-up of solutions of semilinear parabolic equations
An existence and uniqueness theorem for solutions of nonlocal parabolic partial differential equations
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges
One species extinction in an autonomous competition model
Periodic stability and reachability of nonlinear parabolic equations under boundary periodic perturbations
A criterion for asymptotic stability based on topological degree
Periodic solutions and subharmonic solutions for a class of planar systems of Lotka - Volterra type
Periodic boundary value problems for impulsive integro-ordinary differential equations
Some multiplicity results for subharmonic solutions to second order nonautonomous systems
New results in quenching
On the life span of solutions to nonlinear wave equations
Conversion and penetration fronts in combustion
The transition from decay to blow–up in some reaction–diffusion–convection equations
Numerical Experiments on the Ginzburg-Landau Equations
Counterexamples to the existence of inertial manifolds
Inverse problems versus an algebraic spectral method for nonlinear evolution equations
A finite difference scheme for an inverse heat equation
Nonlinear ill-posed problems
Maximum entropy regularization of nonlinear ill-posed problems
Variational derivatives in function spaces
Radial and nonradial solutions of a nonlinear scalar field equation
A geometric method for the periodic problem
Large perturbations of Toda lattices
Distribution of mass principle and its applications to nonlinear elliptic equations
Attractors of bipolar and non-Newtonian viscous fluids
Nonlinear dynamics in the low Reynolds number cylinder wake
The present status of the theory of the flow of a compressible viscous fluid through a pipe or parallel-wall channel
Laminar and turbulent film flows
Sensitivity equations for the k – ε turbulence model for ill-posed inverse problems in computational fluid dynamics
Large-time behavior of reaction-diffusion systems modeling combustion with complex chemistry
Stability analysis of the travelling wave solutions in burning solid propellants
Stability of travelling waves in combustion problems: a fully nonlinear approach
On the numerical analysis of buckling of general thin shells
Random fields in nonlinear structural problems
Geometrically nonlinear analysis of inelastic damaged shells
Moderate rotations of shells under circulatory loading
Further results on postbuckling behavior of shear deformable plates and shallow shells accounting for initial geometric imperfections
Failure prediction in composite laminates according to the layerwise plate theory
A theory for nonlinear static and transient analysis of composite laminates
Numerical methods for ODEs with hysteresis
P.D.E.s with hysteresis operators
Some limit results for relays
The Mróz model: A hysteresis operator for rate-independent plasticity
A differential model of fatigue in elastoplastic materials
Orientable and nonorientable minimal surfaces
Continuation methods in nonlinear elasticity
Bifurcation for variational inequalities and applications to elasticity
Infinite dimensional integrals in classical, stochastic and quantum nonlinear problems
Asymptotic formulas in capillarity
An envelope theorem for weak solutions of quasilinear elliptic boundary value problems
Group theoretical methods for finite-difference modeling
Two parameter problems for the p-Laplacian
Positive solutions of semilinear Neumann problems and Sobolev type inequalities
A free boundary eigenvalue problem
Measure valued solution of non-Newtonian compressible heat conductive fluid
Asymptotics for a class of weakly nonlinear wave equations with applications to some problems
Path optimization in flat and wrinkled labyrinths using arrays of active nonlinear circuits: traveling wave and its failure
An Oregonator based model for the influence of a radial electric field on the dynamics of spiral waves
Theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities
Products of distributions in mathematical physics
A qualitative analysis of the potential and current driven semiconductor equations
Author Index
Differential-geometric computational methods for nonlinear problems
Set-valued analysis, viability theory and partial differential inclusions
Global stability, injectivity, and the Jacobian conjecture
Theory of multipolar fluids
Theory vs. relativity
Difference equations and inequalities: a survey
Invariant fiber bundles for nonautonomous difference systems
Sign properties of Green's functions for difference equations
Global Stability of Difference Equations
Singular boundary value problems for higher order difference equations
Asymptotic behavior and oscillation of general nonlinear difference equations
Permanence and global attractivity in nonlinear difference equations
Comparison theorems for a difference equation with memory
Dichotomies for differential systems with impulsive effect
Soliton-like solutions of the discrete wave equation
Examples of Lyapunov functionals for non-differentiated equations
A Lyapunov-Razumikhin method for functional differential equations
Attractivity in nonautonomous equations by Liapunov's method
New directions in the method of vector Lyapunov functions via cone valued Lyapunov functions
A conjecture in Lyapunov method for functional differential equations
Stability criteria for impulsive integro-differential equations
Current state of the method of vector Lyapunov functions
New approach to the dynamic programming for optimal control problems with state constraints
Methods of stability theory for singularly perturbed problems with applications to dynamics
On stability of steady motions of rigid body with liquid-filled cavity
Some new trends in Lyapunov's direct method
Uniform asymptotic stability in functional differential equations with finite delay
Stability analysis of an HIV transmission model
Stability of general ecological systems and neural networks systems
On the asymptotic stability in differential systems by Lyapunov direct method
Stability and attraction in impulsive semidynamical systems
A universal integral invariant of non-autonomous dynamical systems
Convergence in neutral equations with infinite delay arising from active compartmental systems
An invariance principle of Lyapunov-Razumikhin type and compartmental systems
On the existence of almost periodic solutions of nonlinear compartmental systems with time delays
On numerical solutions for a class of nonlinear delay equations with time- and state-dependent delays
Asymptotic periodicity in impulsive differential equations of retarded type with applications to compartmental models
Variation of parameters formula and Lipschitz stability of nonlinear matrix differential equations
Stability of a class of nonlinear continuous neural networks
Roughness properties of (h, k)-dichotomies
On the existence and qualitative properties of solutions for a nonlinear Neumann problem with critical exponent
Behavior of nonoscillatory solutions of forced second order neutral delay equations
Regularity and asymptotics of a similarity solution of an equation arising in boundary layer theory
On solutions of a neutral equation with an oscillatory coefficient
Asymptotic behavior of nonlinear neutral differential equations
On oscillation of nonlinear first order differential equations with its application
Topological and variational approaches for nonlinear oscillation: an extension of a Bhatia result
Oscillation and nonoscillation of a class of neutral equations
Positive nonlinear operators associated with isoperimetric eigenvalue problems in algebra
Positive nonlinear systems: Some results and applications
Random products of contractions
Functional-differential equations with non-Volterra operator
Searching for periodic orbits in a four dimensional symplectic map
Nonlinear Gravito-electrodynamics - An Einstein's dream
A geometric approach to optimal control
A generalized implicit function theorem for equations with symmetry
Bifurcation analysis of nonuniform flow patterns in axial-flow gas compressors
Analysis of energy balance climate models
A numerical method for solving nonlinear singular problems and application to bifurcation problems
On the analysis of dynamic bifurcations and stability of solutions
Limit theorems for dependent random variables
The stochastic zero-sum differential games with measurement uncertainties
On certain nonlinear difference and differential equations arising from optimal choice problems
Near-optimal control of a class of stochastic systems under integral constraints
Stability analysis of stochastic bilinear systems
Existence of solutions of nonlinear stochastic differential inclusions on Banach space
Bimodal nonparametric density estimation
Conditional percentiles and their estimates for the additive model
Sequential allocation for a nonlinear estimation problem
Ergodic theorems for modulated stochastic processes
Some new results in stochastic reaction-diffusion equations
Stochastic evolution equations with non-coercive monotone operators
Optimal control of arrival and service rates for two Μ / Μ / 1 queues in series
Repairable system with different failure modes
Differential inclusions and implicit equations on closed subsets of ℝn
Recent trends in the theory of nonlinear functional differential equations
Spherically symmetric solutions of semilinear wave equations
Exchange of stability and bifurcation of tori in four dimensions
Multivalued differential equations with time-dependent constraints
Weighted inequalities with an arbitrary convex function
Lower semicontinuity of multivalued mappings and equilibrium points
Periodicity in delay difference systems
A convexification algorithm for the modeling of nonlinear dynamic processes
On the pulse phenomenon for impulsive differential equations
Fourier spectral methods for a class of generalized KdV-Burgers equations with variable coefficients
Structure of elastoplastic shock wave and numerical computation
Automatic contours detection in image processing
Second generation image coding and wavelet transform
Segmentation by minimizing functionals and the merging methods
Equivalence of various characterizations of the oscillatory / nonoscillatory classification for singular endpoints of fourth order selfadjoint differential equations
Taylor recurrence in analytic O.D.E.'s
Asymptotic behavior of difference equations
Oscillation of solutions of arbitrary order neutral functional differential equations with forcing terms
Method of Lyapunov-Lagrange functions for optimization of dynamic systems with information constraints
Approximation methods for eigenvalue problems of Fredholm integral equations
Mode interaction at a triple zero point of O(2)-symmetric nonlinear systems with two parameters
Author Index
Nonlinear elliptic systems arising from control theory and differential games
Aspects of singular perturbation theory in physiology
Quasi-variational systems
New spectral representations of mixing dynamical systems
Differential inclusions without convexity: A survey of directionally continuous selections
Some problems of existence, uniqueness and regularity in the calculus of variations
On the existence problem in the Calculus of Variations
A class of upper semicontinuous differential inclusions without convexity
Constructive aspects of fixed point theory for nonexpansive mappings
On the growth properties of the homology of free loop spaces on configuration spaces
Borsuk-Ulam theorems, the Lusternik-Schnirelmann category and index theories
Monotone methods with applications to nonlinear analysis
Spherical algorithms and evaluation of the fixed point set
Fixed points of acyclic maps on topological vector spaces
Convergence of Accretive Operators
Existence of solutions of nonlinear equations with perturbations of monotone operators in reflexive Banach spaces
Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces
Braess's paradox and power-law nonlinearities in networks II
On the invertibility of I ± exp(—tA), t >0, with A maximal monotone
A global existence theorem on nonlinear evolution equations
Existence of solutions of nonlinear functional differential equations in Lp spaces
The global attractor of the fifth order KdV equation
On the blow-up of solutions to some semilinear parabolic systems arising in chemical reaction modelling
Asymptotic behavior and periodic forcing in time for the solutions of a nonlinear system representing a phase change with dissipation
Implicit functions defined by generalized equations
Non-smooth sub differentials: their calculus and applications
Generalized differentiation and stability of solution maps to parametric variational systems
The linear nonconvex generalized gradient
Second order necessary conditions for nonsmooth optimum problems with constraints
Wellposedness of second-order nonlinear abstract differential equations with multivalued boundary conditions: Applications to von Kármán systems
Some stability results for vector optimization problems in partially ordered topological vector spaces
Some nonlinear results for abstract differential equations
Some applications and extensions of P-coercive variational inequalities
On semilinear wave equations at resonance
Approximate solvability of nonlinear equations and related results in control theory
The Newton-Kantorovich method for nonlinear integral operators
A uniqueness theorem for a nonlinear integral equation of gravimetry
Applications of Pareto optimality of a mapping to mathematical economics
On ψ-minimal, P-monotone trajectories of nonautonomous differential inclusion in ℝN
On the solution of some nonlinear boundary value problem
Mathematical controllability theory of the growth of wealth of nations
Bilateral interactions and aggregate fluctuations
Short-run decisions on price, output, and inventories in a dynamic model of the firm
Dynamical systems defined by infinite horizon optimal control problems
Geometry and nonlinear differential equations
Pareto solution of a cone variational inequality and Pareto optimality of a mapping
Output tracking of nonanalytic trajectories for nonlinear systems
Linearization and approximation of control systems
The shape design problem for systems with distributed parameters
Optimality conditions for controls of infinite dimensional systems
Two norm approach in stability analysis of optimization and optimal control problems
On nonlinear minimum norm control problems
Generalizations of the Lusternik Theorem and applications to nonsmooth and abnormal problems in optimization and optimal control
Optimal shape design of plates and shells with obstacles
Some results on the viscosity solutions of fully nonlinear equations containing non-local terms
Optimal control and relaxation of systems governed by Volterra integral equations
A universal stabilizer for a class of nonlinear systems
Computational methods for boundary optimal control of incompressible flows
Computational hybrid-control techniques in hydrodynamics
Optimal control problems of viscous flow
A direct method for parameter estimation in distributed systems
Uniformly stable approximation of the LQR problem
On a mathematical model of phase transitions in materials with memory
Overview of optimal trajectories for aeroassisted orbital transfer
Long term planning of hydro-thermal power systems
On the optimal drug administration of a discrete cancer chemotherapy model
The neural network approach to several nonlinear control problems
A unified computational approach to optimal control problems
Some trajectory-following algorithms for min-max optimization
On the usage and applications of parameter optimization software OptiA in constrained optimal control
Construction of numerical solutions of permanent heavy waves of two liquids
Asymptotic theorems about compression and expansion of cones in Banach spaces for multivalued maps differentiable at the origin and infinity
Bayesian statistical approach to design of reliability models
Determine optimal burn-in time for highly integrated circuit systems
A nonhomogeneous Poisson process for software reliability
Multiple category screening procedures
Is your model chaotic? A consistent simulation-based test
Economic models of survival under uncertainty
Aggregation in mathematical models of manufacturing systems
Nonlinear interaction dynamics of multiple mobile automata
Some unsolved problems in optimal design theory: Interaction of mathematical modelling of large structural, mechanical or chemical systems with their design
Stochastic stability and bifurcation analysis of gated radar trackers
The twist-and-flip map
Bifurcations and chaos from Chua's circuit: A state-of-the-art review
Nonlinear dynamics in cellular neural networks
CNN: A new paradigm of nonlinear dynamics in space
Geometric invariants of chaotic attractors encountered in Chua's circuit
Nonstandard methods in metric fixed point theory
The minimax principle of mechanics and its application to the optimal control problem for robot manipulators
On a fixed point theorem of Jungck
A nonlinear ergodic theorem for almost-orbits of nonlinear contraction semigroups in Banach spaces
Author Index
A simple ODE with more than 20 strange attractors
Applications of generalized functions to propagating and deforming interfaces
Conservation laws for integro-differential equations
Dynamics of neuro-muscular control with delayed displacement-dependent feedback
Oscillations and chaos in nonlinear delay differential equations with applications to physiology
Multiple-delayed differential equations as models for biological control systems
Lattices with spatially extended coupling and the statistical properties of neural populations
Dependence on initial conditions in nonlocal PDE's and hereditary dynamical systems
Biased preference models for partnership formation
AIDS in the Heterosexual Population
Completion of mixing matrices for non-closed social networks
Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach
Simple models for interactions of the HIV virus and the immune system: Can we point out to one specific threshold for the onset of AIDS?
Variable infectivity in communicable disease models
Stochastic and deterministic models in epidemiology
A pair formation approach to modeling inheritance of social traits
Information processing and practical implementation of “Biochemical neuron”
Nonlinear control and self-organization
Analysis of two hypothetical mechanisms of photosynthetic oscillations by means of mathematical skeleton models
The theory of the control of metabolism
Mathematical modelling of enzymic systems; simulation, control analysis and optimization
Selection of enzymatic mechanisms which account for simplicity in the evolution of metabolic pathways
Mathematical description of regulation in metabolic systems: The regulatory potential
Self-activation and self-inactivation kinetics of enzymes: theoretical aspects and a mathematical model for the particulate prostaglandine synthase from ovine vesicular glands
Power-law formalism: A canonical nonlinear approach to modeling and analysis
S-system analysis of the TCA cycle in Dictyostelium discoideum
A monomial-based version of Newton's method
Assessment of the regulatory properties of a metabolic pathway: Parameter estimation from steady-state measurements
How many variables? Some comments on the dimensionality of nonlinear systems
Simple dynamical systems for bursting and spindling
A two-component discrete dynamical model of the bursting rhythm caused by veratramine in the pacemaker of the heart
On the clonal inheritance model of cell proliferation
Emergence of stable DNA repeats from random sequences under unequal sister chromatid exchange
A model for retrieving the dynamics of gene amplification from episomes to intrachromosomal amplification
New mathematical methods for evaluating toxicity of anti-cancer drugs and AZT
A particle method for population shock waves with application to synchronization of bacterial culture growth
Simulation of drug-inhibited cell proliferation with a model of clonal inheritance of cell lifetimes
Resonances in periodic chemotherapy scheduling
A review of the effect of radiation transfer on the simulation of atmospheric circulations of different scales
Effects of thermal forcing in atmospheric shear flows with critical level
Baroclinic-barotropic instabilities and energy transfers in the Gulf Stream
Turbulence structure in the atmospheric boundary layer – data and models
A review of coupled ocean-atmosphere models
Review of recent advances in the development of semi-Lagrangian numerical models in meteorology
Atmospheric dispersion in low wind conditions
A review of non-hydrostatic numerical models for the atmosphere
The stagnant flow upstream of hills or mountains
Micro-meteorological studies in air quality management
Nonlinear analysis of stability, oscillations and control of immunological processes
Mathematical modeling of cellular interaction dynamics in multicellular tumor spheroids
Polynomial networks for optimal nonlinear filtering
Analysis of the computational characteristics of adaptive resonance theory neural nets
Differentiating and pruning multilayer feedforward neural networks
Stability analysis of neural networks using vector Lyapunov functions
Neural network approach to optimal filtering
Signal recognition using a dynamic time warping neural network
Development and analysis of a mathematical model for a plant-herbivore system
The effects of asymmetric competition on competitive outcome
Persistence in Kolmogorov population models with time delay
Global variables and population dynamics prey-predator models with individual activity sequences
The computer-aided study of dynamics in the system primary tumor, cytotoxic lymphocytes, metastases
Folding at the genesis of chaos
Ginzburg-Landau type models for superconductivity
Time-dependent Ginzburg-Landau models for superconductivity
Asymptotic analysis of the Ginzburg-Landau model of superconductivity: Reduction to a free boundary model
Dynamics of Vortices in Superconductors
Computation of Singular Solutions in the Micromagnetics of Thin Films
Energy transport systems for semiconductors: Analysis and simulation
Nonlinearities In Drift-Diffusion Semiconductor Modeling
Some classes of iterative methods for finding zeros of polynomials and analytic functions
Fine and coarse grained parallel implementations of polynomial root finding algorithms
Divide and conquer techniques for the polynomial root-finding problem
A unified approach to some classes of simultaneous inclusion methods for polynomial zeros
WKB procedure for Schrödinger type difference equations
Toward an efficient and stable determination of spectra of a general matrix and a more efficient solution of the Lyapunov equation
Interfacial wave theory of dendritic growth and a comparison with experiments
Thomas–Fermi model calculations of one and two dimensional lattices
Author Index
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