期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 70, 期 9, 页码 3172-3179出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2008.04.020
关键词
Lebesgue integrable function; Caratheodory conditions; Functional integral equation; Superposition operator; Schauder fixed point principle
We study the solvability of a functional integral equation in the space of Lebesgue integrable functions on an unbounded interval. Using the conjunction of the technique of measures of weak noncompactness with the classical Schauder fixed point principle we show that the equation in question is solvable in the mentioned function space. Our existence result is obtained under the assumption that functions involved in the investigated functional integral equation satisfy Caratheodory conditions. Moreover, that result generalizes several ones obtained earlier in many research papers and monographs. (c) 2008 Elsevier Ltd. All rights reserved.
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