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Displaying similar documents to “Nonlocal Cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities”

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.