Local asymptotic stability for nonlinear quadratic functional integral equations

B. C. Dhage, Kasubai, Gurukul Colony, Maharashtra, India
S. S. Bellale, Kasubai, Gurukul Colony, Maharashtra, India

E. J. Qualitative Theory of Diff. Equ., No. 10. (2008), pp. 1-13.

Communicated by P. Eloe. Received on 2007-10-21
Appeared on 2008-03-15

Abstract: In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a quadratic functional integral equation via a fixed point theorem of Darbo. The investigations are placed in the Banach space of real functions defined, continuous and bounded on an unbounded interval. An example is indicated to demonstrate the natural realizations of abstract result presented in the paper.

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