On global attractivity of solutions of a functional-integral equation

M. A. Darwish, Alexandria University, Damanhour, Egypt

E. J. Qualitative Theory of Diff. Equ., No. 21. (2007), pp. 1-10.

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.

You can download the full text of this paper in DVI, PostScript or PDF format.