Order reduction for periodic boundary value problems of discontinuous third-order differential equations

Abstract

In this paper some results about nonlinear periodic boundary value problems for second order integro-differential equations with Carathéodory nonlinearities which improve previous results are given. Then the results obtained are applied to investigate the existence of solutions for a third-order differential equation with periodic boundary conditions.

Keywords:

• Periodic boundary value problem
• Monotone iterative technique
• Integro-differential equations

Additional information

Notes on contributors

Liz Eduardo