Titlebook: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics; Victor A. Sadovnichiy,Michael Z. Zgurovsky Book 2021 Springe

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On Tikhonov Regularization of Optimal Distributed Control Problem for an Ill-Posed Elliptic Equationns with .-type of nonlinearity and .. The control variable . is taken as a distributed control. The optimal control problem is to minimize the discrepancy between a given distribution . and the current system state. We deal with such case of nonlinearity when we cannot expect to have a solution of t

Aids209

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Existence and Stability Analysis of Solutions for an Ultradian Glucocorticoid Rhythmicity and Acute isol (CORT) level. Dysregulation of the HPA axis is implicated in numerous stress-related diseases. For a structured model of the HPA axis that includes the glucocorticoid receptor (GR) but does not take into account the system response delay, we analyze linear and non-linear stability of stationary

Certainty

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The Dynamics of Periodic Switching Systemsmaps which can be viewed as the dynamics of a class of triangular maps. We make a special emphasis to periodic switching by showing that the dynamics of these systems can be analyzed from associated dynamical systems. Hence, we introduce the basic background of regular enough piecewise monotone maps

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OPINE

Ergodicity of Stochastic Hydrodynamical-Type Evolution Equations Driven by ,-Stable Noisestochastic Navier–Stokes equation, magneto-hydrodynamic equation, Boussinesq equation, magnetic Benard equation and so on. The existence and uniqueness of the invariant measure of this stochastic system are established by the strong Feller property and accessibility of the transition semigroup. The

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Uniform Global Attractor for a Class of Nonautonomous Evolution Hemivariational Inequalities with Mue dynamics of all weak solutions defined on the positive semi-axis of time is investigated. We prove the existence global attractor. New properties of complete trajectories are justified. The pointwise behavior of such problem solutions on attractor is described in the autonomous case.

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https://doi.org/10.1007/978-3-663-04425-3eir classification, representation and invariants with respect to topological equivalence depending on number of degrees of freedom. Then criterion of their component-wise stability by A.A. Oshemkov and its application are reminded. At last, we discuss saddle singularities of famous dynamical and ph