Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations. (6th June 2012)

• Record Type: Journal Article
• Authors: Sun, Hong-Rui; Li, Ya-Ning; Nieto, Juan J.; Tang, Qing
• Other Names: O'Regan D. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-06-06
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/707163
• Languages: English
• ISSNs: 1085-3375

Abstract

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.