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Titlebook: Evolution Inclusions and Variation Inequalities for Earth Data Processing III; Long-Time Behavior o Mikhail Z. Zgurovsky,Pavlo O. Kasyanov,

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https://doi.org/10.1007/978-3-662-67836-7cts for investigation. Since then, deep results about existence, properties, structure, and dimension of global attractors for a wide class of dissipative systems have been obtained (see, e.g., [7, 38, 54, 75, 78]). For the application of this classical theory to partial and functional differential
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https://doi.org/10.1007/978-3-658-17001-1nlinear mathematical models of evolution processes and fields of different nature, in particular, problems deal with the dynamics of solutions of non-stationary problems. Far from complete list of results concern the given direction is in works [4, 5, 7, 9–17, 19].
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Eileen C. Reppert,Christian Schulz-Quachis nonautonomous, new and challenging difficulties appear. In this case, if uniqueness of the Cauchy problem holds, then the usual semigroup of operators becomes a two-parameter semigroup or process [38, 39], as we have to take into account the initial and the final time of the solutions.
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Physica-Schriften zur Betriebswirtschaft is still far to be solved in a satisfactory way. In particular, the existence of a global attractor in the strong topology is an open problem for which only some partial or conditional results are given (see [3, 4, 6, 15, 17, 19, 20, 27, 38]). Concerning the existence of trajectory attractors, some
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