Author:
Zhao Yulin,Wang Xuebin,Liu Xingguo
Abstract
Abstract
By using a variational method and some critical points theorems, we establish some results on the multiplicity of solutions for second-order impulsive differential equation depending on two real parameters on the half-line. In addition, two examples to illustrate our results are given.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference35 articles.
1. Agarwal RP, O’Regan D: Infinite Interval Problems for Differential, Difference and Integral Equations. Kluwer Academic, Dordrecht; 2001.
2. Struwe M: Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Springer, Berlin; 2008.
3. Eloe PW, Kaufmann ER, Tisdell CC: Multiple solutions of a boundary value problem on an unbounded domain. Dyn. Syst. Appl. 2006, 15(1):53-63.
4. Lian H, Wang P, Ge W: Unbounded upper and lower solutions method for Sturm-Liouville boundary value problem on infinite intervals. Nonlinear Anal. TMA 2009, 70: 2627-2633. 10.1016/j.na.2008.03.049
5. Yan B, O’Regan D, Agarwal RP: Unbounded solutions for singular boundary value problems on the semi-infinite interval: upper and lower solutions and multiplicity. J. Comput. Appl. Math. 2006, 197: 365-386. 10.1016/j.cam.2005.11.010
Cited by
41 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献