Qualitative and Quantitative Analysis of Nonlinear Systems

Theory and Applications

Nonfiction, Computers, Advanced Computing, Artificial Intelligence, General Computing, Science & Nature, Technology
Cover of the book Qualitative and Quantitative Analysis of Nonlinear Systems by Michael Z. Zgurovsky, Pavlo O. Kasyanov, Springer International Publishing
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Author: Michael Z. Zgurovsky, Pavlo O. Kasyanov ISBN: 9783319598406
Publisher: Springer International Publishing Publication: July 11, 2017
Imprint: Springer Language: English
Author: Michael Z. Zgurovsky, Pavlo O. Kasyanov
ISBN: 9783319598406
Publisher: Springer International Publishing
Publication: July 11, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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