Qualitative and Quantitative Analysis of Nonlinear Systems

Theory and Applications
Softcover Nachdruck of the original 1. Auflage 2018
ISBN: 978-3-319-86715-1
Verlag: Springer International Publishing

Buch, Englisch, Band 111, 240 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 423 g

Reihe: Studies in Systems, Decision and Control

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.

Zielgruppe

Research

Autoren/Hrsg.

Kasyanov, Pavlo O.

Zgurovsky, Michael Z.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

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