On existence and asymptotic behaviour of solutions of a functional integral equation

✍ Scribed by Józef Banaś; Ignacio J. Cabrera

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 158 KB
• Volume: 66
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2006.03.015

✦ Synopsis

The paper contains a result on the existence and asymptotic behaviour of solutions of a functional integral equation. That result is proved under rather general hypotheses. The main tools used in our considerations are the concept of a measure of noncompactness and the classical Schauder fixed point principle. The investigations of the paper are placed in the space of continuous and tempered functions on the real half-line. We prove an existence result which generalizes several ones concerning functional integral equations and obtained earlier by other authors. The applicability of our result is illustrated by some examples.