On a class of differential equations of parabolic type with impulsive action |
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Authors: | L A Vlasenko A D Myshkis A G Rutkas |
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Institution: | 1. Kharkov National University, Kharkov, Ukraine 2. Moscow State University of Railway Engineering, Moscow, Russia
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Abstract: | Existence and uniqueness theorems are obtained for semilinear differential equations of parabolic type with impulsive action in Banach spaces. These equations contain an operator, in general, noninvertible, multiplying the time derivative. The results are applied to partial differential equations with impulsive action. |
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