On the solvability of nonlinear impulsive boundary value problems

Daniel Maroncelli, Jesús Rodríguez

Abstract


In this paper we provide sufficient conditions for the existence of solutions to two-point boundary value problems for nonlinear ordinary differential equations subject to impulses. Our results depend on properties of the nonlinearities as well as on the solution space of the associated linear problem. Our approach is based on topological degree arguments in conjunction with the Lyapunov-Schmidt procedure.

Keywords


Boundary value problems; Schauder's fixed point theorem; Lyapunov-Schmidt procedure; topological degree theory

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