A second-order boundary value problem with impulsive effects on an unbounded domain

✍ Scribed by Eric R. Kaufmann; Nickolai Kosmatov; Youssef N. Raffoul

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 215 KB
• Volume: 69
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2007.08.061

✦ Synopsis

We study a second-order nonlinear differential equation on an unbounded domain with solutions subject to impulsive conditions and the Sturm-Liouville type boundary conditions. The existence results are obtained via applications of Krasnosel'skiȋ's fixed point theorem for the sum of a completely continuous operator and a contraction.