Qualitative and Quantitative Analysis of Nonlinear Systems : Theory and Applications / by Michael Z. Zgurovsky, Pavlo O. Kasyanov.

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Qualitative and Quantitative Analysis of Nonlinear Systems : Theory and Applications / by Michael Z. Zgurovsky, Pavlo O. Kasyanov.

9783319598406 (electronic book)
3319598406
3319598392
9783319598390
9783319598390

Cham : Springer International Publishing : Imprint : Springer, 2018.

English

1 online resource (xxxiiiI, 240 pages) : illustrations.

10.1007/978-3-319-59840-6 doi

Q342

006.3

Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

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Studies in systems, decision and control ; 111.

Print version: 9783319598390

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