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On existence of integrable solutions of a functional integral equation under Carathéodory conditions

✍ Scribed by Józef Banaś; Agnieszka Chlebowicz

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
525 KB
Volume
70
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Integrable solutions of a nonlinear func
Integrable solutions of a nonlinear functional integral equation on an unbounded interval
✍ Mohamed Aziz Taoudi 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 405 KB

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

On existence and asymptotic behaviour of
On existence and asymptotic behaviour of solutions of a functional integral equation
✍ Józef Banaś; Ignacio J. Cabrera 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 158 KB

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