Skip to main content
Log in

Non-convex perturbations of maximal monotone differential inclusions

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

We give an existence result for\(\dot x \in -- Ax + F(x)\) whereA is a maximal monotone map andF is a set-valued map, with images not necessarily convex.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Antosiewicz and A. Cellina,Continuous selections and differential relations, J. Differ. Equ.19 (1975), 386–398.

    Article  MATH  MathSciNet  Google Scholar 

  2. H. Attouch and D. Damlamian,On multivalued evolution equations in Hilbert spaces, Isr. J. Math.12 (1972), 373–390.

    MATH  MathSciNet  Google Scholar 

  3. H. Brezis,Opérateurs Maximaux Monotones et Semigroupes Nonlinéaires, North-Holland, 1971.

  4. K. Yoshida,Functional Analysis, Springer-Verlag, Berlin, 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cellina, A., Marchi, M.V. Non-convex perturbations of maximal monotone differential inclusions. Israel J. Math. 46, 1–11 (1983). https://doi.org/10.1007/BF02760619

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02760619

Keywords

Navigation