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Existence of solutions to differential inclusions in Banach spaces

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Abstract

In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces. First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end, the existence theorem of solutions to differential inclusions is obtained.

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Communicated by Chien Weizang

Project supported by the Natural Science Foundation of Jiangxi province in China

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Fumin, S. Existence of solutions to differential inclusions in Banach spaces. Appl Math Mech 19, 1103–1113 (1998). https://doi.org/10.1007/BF02459199

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  • DOI: https://doi.org/10.1007/BF02459199

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