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Book Cover
Author Zhurovsʹkyĭ, M. Z. (Mykhaĭlo Zakharovych), author

Title Qualitative and quantitative analysis of nonlinear systems : theory and applications / Michael Z. Zgurovsky, Pavlo O. Kasyanov
Published Cham, Switzerland : Springer, [2018]


Description 1 online resource (XXXIII, 240 pages) : 43 illustrations, 23 illustrations in color
Series Studies in Systems, Decision and Control, 2198-4182 ; 111
Studies in systems, decision and control ; 111. 2198-4182
Contents 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
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Nonlinear systems.
Analytical chemistry -- Quantitative.
Analytical chemistry -- Qualitative.
Cybernetics & systems theory.
Nonlinear science.
Automatic control engineering.
Artificial intelligence.
SCIENCE -- System Theory.
TECHNOLOGY & ENGINEERING -- Operations Research.
Analytical chemistry -- Quantitative
Nonlinear systems
Analytical chemistry -- Qualitative
Automatic control
Computational complexity
Computational intelligence
Form Electronic book
Author Kasyanov, Pavlo O., author.
ISBN 9783319598406