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2013 Multiple Solutions for a Second-Order Impulsive Sturm-Liouville Equation
Jingli Xie, Zhiguo Luo
Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/527082

Abstract

We study the existence of solutions to a boundary value problem of a second-order impulsive Sturm-Liouville equation with a control parameter λ . By employing some existing critical point theorems, we find the range of the control parameter in which the boundary value problem admits at least three solutions. It is also shown that, under certain conditions, there exists an interval of the control parameter in which the boundary value problem possesses infinitely many solutions. Some examples are given to demonstrate the main results in this paper.

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Jingli Xie. Zhiguo Luo. "Multiple Solutions for a Second-Order Impulsive Sturm-Liouville Equation." Abstr. Appl. Anal. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/527082

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1301.34039
MathSciNet: MR3073513
Digital Object Identifier: 10.1155/2013/527082

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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