Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations

This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established...

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Bibliographic Details
Authors: Sun, Hong-Rui, Li, Ya-Ning, Nieto Roig, Juan José, Tang, Qing
Format: article
Publication Date:2012
Country:España
Institution:Universidad de Santiago de Compostela (USC)
Repository:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Language:English
OAI Identifier:oai:minerva.usc.gal:10347/21488
Online Access:http://hdl.handle.net/10347/21488
Access Level:Open access
Description
Summary:This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results.