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Existence of solutions for parabolic type evolution differential inclusions and the property of the solution set

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Abstract

In this paper, parabolic type differential inclusions with time dependent are considered and this problem is related to the study of the nonlinear distributed parameter control systems. An existence theorem of mild-solutions is proved, and a property of the solution set is given. The directions and the results by J. P. Aubin et al are generalized and improved.

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Zhihua, W. Existence of solutions for parabolic type evolution differential inclusions and the property of the solution set. Appl Math Mech 20, 328–331 (1999). https://doi.org/10.1007/BF02463860

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  • DOI: https://doi.org/10.1007/BF02463860

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