Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42755
Title: On existence and asymptotic behaviour of solutions of a functional integral equation
Authors: Banaś, Józef
Cabrera, Ignacio J. 
UNESCO Clasification: 120215 Ecuaciones integrales
Keywords: Functional integral equation
Asymptotic behaviour
Fixed point theorem
Measure of noncompactness
Issue Date: 2007
Journal: Nonlinear Analysis, Theory, Methods and Applications 
Abstract: 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.
URI: http://hdl.handle.net/10553/42755
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.03.015
Source: Nonlinear Analysis, Theory, Methods and Applications[ISSN 0362-546X],v. 66, p. 2246-2254
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