Qualitative and Quantitative Analysis of Nonlinear Systems Theory and Applications
tarafından
Zgurovsky, Michael Z. author.
Başlık
:
Qualitative and Quantitative Analysis of Nonlinear Systems Theory and Applications
Yazar
:
Zgurovsky, Michael Z. author.
ISBN
:
9783319598406
Yazar
:
Zgurovsky, Michael Z. author.
Edisyon
:
1st ed. 2018.
Fiziksel Niteleme
:
XXXIII, 240 p. 43 illus., 23 illus. in color. online resource.
Seri
:
Studies in Systems, Decision and Control, 111
İçindekiler
:
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.
Özet
:
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.
Konu Başlığı
:
Engineering.
Computational Intelligence. http://scigraph.springernature.com/things/product-market-codes/T11014
Complexity. http://scigraph.springernature.com/things/product-market-codes/T11022
Applications of Nonlinear Dynamics and Chaos Theory. http://scigraph.springernature.com/things/product-market-codes/P33020
Control and Systems Theory. http://scigraph.springernature.com/things/product-market-codes/T19010
Yazar Ek Girişi
:
Kasyanov, Pavlo O.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 226863-1001 | Q342 | Springer E-Book Collection |