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Global attractivity results for nonlinear functional integral equations via a Krasnoselskii type fixed point theorem. (English) Zbl 1163.45005

The author derives sufficient conditions for the global attractivity and the global asymptotic attractivity of the solutions of a nonlinear functional integral equation of Volterra type on the half-line.

MSC:

45G10 Other nonlinear integral equations
45M05 Asymptotics of solutions to integral equations
47H10 Fixed-point theorems
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References:

[1] Banas, J.; Dhage, B. C., Global asymptotic stability of solutions of a functional integral equations, Nonlinear Anal. (2007)
[2] Banas, J.; Rzepka, B., An application of measures of noncompactness in the study of asymptotic stability, Appl. Math. Lett., 16, 1-6 (2003) · Zbl 1015.47034
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[11] O’Regan, D.; Meehan, M., Existence Theory for Nonlinear Integral and Integro-differential Equations (1998), Kluwer Academic: Kluwer Academic Dordrecht · Zbl 0932.45010
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