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Qualitative and quantitative analysi...

Kasyanov, Pavlo O.

Qualitative and quantitative analysis of nonlinear systemstheory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Qualitative and quantitative analysis of nonlinear systemsby Michael Z. Zgurovsky, Pavlo O. Kasyanov.
Reminder of title:	theory and applications /
Author:	Zgurovsky, Michael Z.
other author:	Kasyanov, Pavlo O.
Published:	Cham :Springer International Publishing :2018.
Description:	xxxiii, 240 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonlinear systems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-59840-6
ISBN:	9783319598406$q(electronic bk.)

Qualitative and quantitative analysis of nonlinear systemstheory and applications /
Zgurovsky, Michael Z.

Qualitative and quantitative analysis of nonlinear systemstheory and applications /[electronic resource] :by Michael Z. Zgurovsky, Pavlo O. Kasyanov. - Cham :Springer International Publishing :2018. - xxxiii, 240 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.1112198-4182 ;. - Studies in systems, decision and control ;v.3..

Introduction: Special Classes of Extended Phase Spaces of Distributions -- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results -- Regularity of Solutions for Nonlinear Systems -- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems -- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems -- Indirect Lyapunov Method for Autonomous Dynamical Systems.

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.

ISBN: 9783319598406$q(electronic bk.)

Standard No.: 10.1007/978-3-319-59840-6doiSubjects--Topical Terms:

182906
Nonlinear systems.

LC Class. No.: QA402

Dewey Class. No.: 003.75

Qualitative and quantitative analysis of nonlinear systemstheory and applications /
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245 1 0 $a Qualitative and quantitative analysis of nonlinear systems $h [electronic resource] : $b theory and applications / $c by Michael Z. Zgurovsky, Pavlo O. Kasyanov.
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505 0 $a Introduction: Special Classes of Extended Phase Spaces of Distributions -- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results -- Regularity of Solutions for Nonlinear Systems -- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems -- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems -- Indirect Lyapunov Method for Autonomous Dynamical Systems.
520 $a 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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