Integrable solutions of a nonlinear functional integral equation on an unbounded interval

✍ Scribed by Mohamed Aziz Taoudi

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 405 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.02.072

✦ Synopsis

In this paper we prove the existence of integrable solutions of a generalized functionalintegral equation, which includes many key integral and functional equations that arise in nonlinear analysis and its applications. This is achieved by means of an improvement of a Krasnosel'skii type fixed point theorem recently proved by K. Latrach and the author. The result presented in this paper extends the corresponding result of [