Existence of solution for a three-point boundary value problem for a second-order impulsive differential equation
In this paper, we study the existence of nontrivial solutions for the second-order three-point boundary value problem with impulses. Under certain growth conditions on the nonlinearity function and by using Leray-Schauder nonlinear alternative, sufficient conditions for the existence of a nontrivial solution are obtained. Furthermore, we illustrate our results with some examples.
existence of solutions boundary-value problem ordinary differential equations with impulses primary 34b10 secondary 34b15