Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS

Yu Tiana1 and Weigao Gea2

a1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China (tianyu2992@163.com)

a2 Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China (gew@bit.edu.cn)

Abstract

In this paper, we investigate the existence of positive solutions to a second-order Sturm–Liouville boundary-value problem with impulsive effects. The ideas involve differential inequalities and variational methods.

(Online publication July 28 2008)

(Received December 02 2006)

Keywords

  • Primary 34B15;
  • 34B18;
  • 34B37;
  • Secondary 58E30;
  • Sturm–Liouville boundary-value problem;
  • impulsive effects;
  • variational methods;
  • mountain-pass theorem