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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 |
Appears in Collections: | Artículos |
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