Abstract: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.
Keywords: initial value problems, mild solution, semiinfinite interval, nonlocal condition, fixed point
AMS Subject Classification: 34A60, 34G20, 35R10, 47H20