Abstract and Applied Analysis

Multiple Solutions for a Second-Order Impulsive Sturm-Liouville Equation

Jingli Xie and Zhiguo Luo

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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.

Article information

Source
Abstr. Appl. Anal. Volume 2013 (2013), Article ID 527082, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511964

Digital Object Identifier
doi:10.1155/2013/527082

Mathematical Reviews number (MathSciNet)
MR3073513

Zentralblatt MATH identifier
1301.34039

Citation

Xie, Jingli; Luo, Zhiguo. Multiple Solutions for a Second-Order Impulsive Sturm-Liouville Equation. Abstr. Appl. Anal. 2013 (2013), Article ID 527082, 6 pages. doi:10.1155/2013/527082. https://projecteuclid.org/euclid.aaa/1393511964


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