Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/46727
Title: On a functional-integral equation with deviating arguments
Authors: Darwish, Mohamed Abdalla
Kashkari, Bothayna S.
Sadarangani, Kishin 
UNESCO Clasification: 12 Matemáticas
Keywords: Deviating arguments
Functional integral equation
Measure of noncompactness
Nonnegative and nonincreasing solutions
Issue Date: 2014
Journal: Applied Mathematics and Computation 
Abstract: We study the solvability of a functional-integral equation with deviating arguments, where our investigations take place in the space of Lebesgue integrable functions on an unbounded interval. In this space, we show that our functional-integral equation has at least one nonnegative and nonincreasing solution. The proof of our main result is based on a suitable combination of the technique associated with measures of noncompactness (in both the weak and the strong sense) and the Darbo fixed point. In the end, we conclude an example to illustrate our abstract results.
URI: http://hdl.handle.net/10553/46727
ISSN: 0096-3003
DOI: 10.1016/j.amc.2014.08.020
Source: Applied Mathematics and Computation [ISSN 0096-3003], v. 246, p. 64-70
Appears in Collections:Artículos
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