Qualitative and quantitative analysis of nonlinear systems : theory and applications 1st ed.

Author

• Zgurovsky, Michael Z.

Additional Author(s)

• Kasyanov, Pavlo O.

Publisher

Cham, Switzerland : Springer International Publishing, 2018

Language

English

ISBN

9783319598406

Series

Studies in systems, decision and control 111

Subject(s)

• AUTOMATIC CONTROL
• COMPUTATIONAL COMPLEXITY
• COMPUTATIONAL INTELLIGENCE

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (xxxiii, 240 p.)

Dimension

-

Other Desc.

ill. (in color.)

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	00008/21	006.3 Zgu Q	Online !	Available