Electronic Journal of Qualitative Theory of Differential Equations


	Journal supported by: Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences	ISSN: HU ISSN 1417-3875

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On global attractivity of solutions of a functional-integral equation

Darwish, Mohamed Abdalla, Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, Saudi Arabia

Electron. J. Qual. Theory Differ. Equ. 2007, No. 21, 1-10. DOI: https://doi.org/10.14232/ejqtde.2007.1.21

Communicated by Burton, Theodore A.

Received on 2007-07-23
Appeared on 2007-10-08

Abstract: We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis. With help of a suitable measure of noncompactness, we show that the functional integral equation of mixed type has solutions being continuous and bounded on the interval

$[0,\infty)$ and those solutions are globally attractive.

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