Boundary value problems for second order impulsive differential equations using set-valued maps

Abstract

In this paper, we establish some existence results for boundary value problems for second order impulsive differential equations. Our results rely on a version of the Nonlinear Alternative of A. Granas and on a version of the Schauder Fixed Point Theorem for compact, u.s.c., convex values maps.

Keywords:

• boundary value problems
• impulsive differential equations

Additional information

Notes on contributors

Marlèene Frigon

∗

Donal O'Regan

∗∗