On existence of periodic solution to certain nonlinear third order differential equations
DOI:
https://doi.org/10.4067/S0716-09172009000200002Keywords:
Periodic solution, Nonlinear third order differential equation.Abstract
In this paper, it is investigated the existence of periodic solutions to the nonlinear third order differential equation :
x'" + c2(t)x" + c1(f)x' + f(t, x) = p(t, x, x', x").
The Leray-Schauder principle is used to show the existence of periodic solutions of this equation.
References
[1] B. Mehri & D. Shadman, On The Existence of Periodic Solutions of a Certain Class of Second Order Nonlinear Differential Equation, Math. Inequal. Appl. 1(3), pp. 431-436, (1998).
[2] D. Shadman & B. Mehri, On The Periodic Solutions of Certain Nonlinear Third Order Differential Equations, Z. Angew. Math. Mech. (75)(2), pp. 164-166, (1995).
[3] C. Tun¸c & I. Cmar, On the existence of periodic solutions to nonlinear differential equations of second order, Differ. Uravn. Protsessy Upr. (Differential Equations and Control Processes), (3), pp. 1-6, (2008).
[4] C. Tun¸c, On the existence of periodic solutins to a certain fourth-order nonlinear differential equation. Ann. Differential Equations 25, 1, pp. 8-12 (2009).
[2] D. Shadman & B. Mehri, On The Periodic Solutions of Certain Nonlinear Third Order Differential Equations, Z. Angew. Math. Mech. (75)(2), pp. 164-166, (1995).
[3] C. Tun¸c & I. Cmar, On the existence of periodic solutions to nonlinear differential equations of second order, Differ. Uravn. Protsessy Upr. (Differential Equations and Control Processes), (3), pp. 1-6, (2008).
[4] C. Tun¸c, On the existence of periodic solutins to a certain fourth-order nonlinear differential equation. Ann. Differential Equations 25, 1, pp. 8-12 (2009).
How to Cite
[1]
C. Tunç, “On existence of periodic solution to certain nonlinear third order differential equations”, Proyecciones (Antofagasta, On line), vol. 28, no. 2, pp. 125-132, 1.
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