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2012 Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations
Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang
Abstr. Appl. Anal. 2012(SI17): 1-19 (2012). DOI: 10.1155/2012/707163

Abstract

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.

Citation

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Hong-Rui Sun. Ya-Ning Li. Juan J. Nieto. Qing Tang. "Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations." Abstr. Appl. Anal. 2012 (SI17) 1 - 19, 2012. https://doi.org/10.1155/2012/707163

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1245.34030
MathSciNet: MR2926909
Digital Object Identifier: 10.1155/2012/707163

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI17 • 2012
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