Nonlinear Stability

Nonlinear Stability of Shock Waves for Viscous Conservation Laws  eBooks & eLearning

Posted by alt_f4 at Sept. 29, 2016
Nonlinear Stability of Shock Waves for Viscous Conservation Laws

Nonlinear Stability of Shock Waves for Viscous Conservation Laws (Memoirs of the American Mathematical Society) by Tai-Ping Liu
English | Aug. 1985 | ISBN: 0821823299 | 117 Pages | PDF | 6 MB

This paper proves that certain non-classical shock waves in a rotationally invariant system of viscous conservation laws posses nonlinear large-time stability against sufficiently small perturbations. The result applies to small intermediate magnetohydrodynamic shocks in the presence of dissipation.

Nonlinear Stability of Structures  eBooks & eLearning

Posted by tanas.olesya at May 24, 2016
Nonlinear Stability of Structures

Nonlinear Stability of Structures: Theory and Computational Techniques by A.N. Kounadis
English | Dec. 17, 2002 | ISBN: 3211826513 | 415 Pages | PDF | 30 MB

The present volume gives a very modern treatment of all theoretical as well as computational aspects of nonlinear structural stability.
Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids

Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids (Memoirs of the American Mathematical Society) by Hajime Koba
2014 | ISBN: 0821891332 | English | 127 pages | PDF | 0.9 MB
Spectral and Dynamical Stability of Nonlinear Waves (repost)

Spectral and Dynamical Stability of Nonlinear Waves (Applied Mathematical Sciences) by Todd Kapitula and Keith Promislow
English | 2013 | ISBN-10: 1461469945 | 369 pages | PDF | 3,4 MB

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application.
Spectral and Dynamical Stability of Nonlinear Waves (repost)

Spectral and Dynamical Stability of Nonlinear Waves (Applied Mathematical Sciences) by Todd Kapitula and Keith Promislow
English | 2013 | ISBN-10: 1461469945 | 369 pages | PDF | 3,4 MB

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application.

Stability Theory for Dynamic Equations on Time Scales  eBooks & eLearning

Posted by Underaglassmoon at Oct. 5, 2016
Stability Theory for Dynamic Equations on Time Scales

Stability Theory for Dynamic Equations on Time Scales
Birkhäuser | Mathematics | Sept. 23 2016 | ISBN-10: 331942212X | 223 pages | pdf | 2.01 mb

Authors: Martynyuk, Anatoly A.
This book presents a systematic study of stability theory of dynamic equations on time scales and exhibits the advantage of matrix-valued of Lyapunov functions
It treats the theory of dynamic integral inequalities in the underlying theme
This volume demonstrates the manifestations of general comparison principle by showing how this effective technique can be adapted to study various apparently diverse nonlinear dynamics problems

Nonlinear Analysis: Stability, Approximation, and Inequalities (Repost)  eBooks & eLearning

Posted by roxul at Sept. 12, 2016
Nonlinear Analysis: Stability, Approximation, and Inequalities (Repost)

Panos M. Pardalos, Pando G. Georgiev, "Nonlinear Analysis: Stability, Approximation, and Inequalities"
English | 2012 | ISBN: 1461434971 | PDF | 922 pages | 5,3 MB

Stability Analysis of Nonlinear Systems  eBooks & eLearning

Posted by Underaglassmoon at Dec. 31, 2015
Stability Analysis of Nonlinear Systems

Stability Analysis of Nonlinear Systems
Birkhäuser | Mathematics | January 31, 2016 | ISBN-10: 3319271997 | 329 pages | pdf | 2.68 mb

Authors: Lakshmikantham, Vangipuram, Leela, Srinivasa, Martynyuk, Anatoly A.
This references/text illuminates the most important results of the Lyapunov stability theory for several classes of equations of perturbed motion
It is first book that investigates stability theory in terms of two measures
It treats the theory of variety of inequalities, and demonstrates manifestations of the general Lyapunov method via scalar, vector and matrix-valued functions

Nonlinear Systems: Analysis, Stability, and Control  

Posted by ChrisRedfield at Dec. 27, 2015
Nonlinear Systems: Analysis, Stability, and Control

Shankar Sastry - Nonlinear Systems: Analysis, Stability, and Control
Published: 1999-06-22 | ISBN: 0387985131 | PDF | 668 pages | 29.76 MB

Liapunov Functions and Stability in Control Theory (repost)  

Posted by MoneyRich at Sept. 23, 2015
Liapunov Functions and Stability in Control Theory (repost)

Liapunov Functions and Stability in Control Theory by Andrea Bacciotti
English | 13 Apr. 2005 | ISBN: 3540213325 | 252 Pages | DJVU | 2 MB

This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way.