Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions. (5th August 2013)

• Record Type: Journal Article
• Authors: Zhang, Dan; Dai, Binxiang; Chen, Yuming
• Is Part Of: Mathematical methods in the applied sciences. Volume 37:Number 10(2014:Jul. 15)
• Page Start: 1538
• Page End: 1552
• Publication Date: 2013-08-05
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2921
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2921-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2921-para-0001">In this paper, we consider the existence of solutions for second‐order nonlinear damped impulsive differential equations with Dirichlet boundary condition. By critical point theory, we obtain some existence theorems of solutions for the nonlinear problem. We extend and improve some recent results. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>