Qualitative and Quantitative Analysis of Nonlinear Systems: Theory and Applications (Studies in Systems, Decision and Control, 111)

Zgurovsky, Michael Z., Kasyanov, Pavlo O.

ISBN 10: 3319867156 / ISBN 13: 9783319867151

Published by Springer, 2018

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Bibliographic Details

• Title: Qualitative and Quantitative Analysis of Nonlinear Systems: Theory and Applications (Studies in Systems, Decision and Control, 111)
• Publisher: Springer
• Publication Date: 2018
• Language: English
• ISBN 10: 3319867156
• ISBN 13: 9783319867151
• Binding: Paperback
• Condition: New
• Book Type: book

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Synopsis

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.