Geodesic
Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 3, pp. 485-491

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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.
Classification : 34A60, 34G20, 35R10, 47H20
Keywords: initial value problems; mild solution; semiinfinite interval; nonlocal condition; fixed point 
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     title = {Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition},
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Benchohra, M.; Ntouyas, S. K. Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 3, pp. 485-491. http://geodesic.mathdoc.fr/item/CMUC_2000__41_3_a6/