Displaying similar documents to “Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces”

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.