Titlebook: Continuous and Distributed Systems II; Theory and Applicati Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky Book 2015 Springer International Pub

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A Generalized Cahn-Hilliard Equation with Logarithmic PotentialsOur aim in this paper is to study the well-posedness for a generalized Cahn-Hilliard equation with a proliferation term and singular potentials. We also prove the existence of the global attractor.

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https://doi.org/10.1007/978-3-322-90847-6. Problems of stability with respect to projection errors and stability with respect to system perturbations are studied. The presented results are the generalization of theorems on absolute stability of orthorecursive expansions in redundant systems of Hilbert space elements.

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https://doi.org/10.1007/978-3-322-90874-2systems, that is, with constant parameters, inputs, and outputs. In many realistic situations these quantities can vary in time, either deterministically (e.g., periodically) or randomly. They are then nonautonomous dynamical systems for which the usual concepts of autonomous systems do not apply or

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Experiment: Virtueller Kautschukmarkt,r of stochastic lattice differential equations, by using the concept of global random pullback attractor in the framework of random dynamical systems. General results on the existence of global compact random attractors are first provided for general random dynamical systems in weighted spaces of in

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