Displaying similar documents to “Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions”

Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition

Mouffak Benchohra, Sotiris K. Ntouyas (2000)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition. The results is based on the Schauder-Tychonoff fixed point theorem and rely on a priori bounds on solutions.