Variational approach to some damped Dirichlet problems with impulses. (21st March 2013)

• Record Type: Journal Article
• Authors: Chen, Huiwen; He, Zhimin
• Is Part Of: Mathematical methods in the applied sciences. Volume 36:Number 18(2013:Dec. 15)
• Page Start: 2564
• Page End: 2575
• Publication Date: 2013-03-21
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2777
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2777-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2777-para-0001">In this paper, we study the existence of solutions for damped nonlinear impulsive differential equations with Dirichlet boundary conditions. By using critical point theory and variational methods, we give some new criteria to guarantee that the impulsive problems have at least one solution. Some recent results are extended and significantly improved. Finally, some examples are presented to illustrate our main results. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>