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LOCAL ASYMPTOTIC STABILITY FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS

LOCAL ASYMPTOTIC STABILITY FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS,Bapurao C. Dhage,S. S. Bellale

LOCAL ASYMPTOTIC STABILITY FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS   (Citations: 2)
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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.
Published in 2008.
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