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Discrete Approximations and Optimization of Evolution Inclusions
Authors:Qamar Din  Tzanko Donchev
Institution:1. Abdus Salam School of Mathematical Sciences, 68-B, New Muslim Town, Lahore, Pakistan
Abstract:The paper studies discrete approximations of nonconvex valued evolution inclusions with the right-hand side satisfying Kamke condition which is more general than the Lipschitz one and more convenient than the variant of the one-sided Lipschitz condition used in Donchev et al. (J Differ Equ 243:301–328, 2007). We extend an interesting previous result of Mordukhovich to a large class of evolution systems appearing in the theory of parabolic partial differential equations. Examples of control systems governed by partial differential equations are provided.
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