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Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Constantin Varsan

Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations

MATHEMATICS AND ITS APPLICATIONS (KLUWER )

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This book deals mainly with the relevance of integral manifolds associated with a Lie algebra with singularities for studying systems of first order partial differential equations, stochastic differential equations and nonlinear control systems. The analysis is based on the algebraic representation of gradient systems in a Lie algebra, allowing the recovery of the original vector fields and the associated Lie algebra as well. Special attention is paid to nonlinear control systems encompassing specific problems of this theory and their significance for stochastic differential equations. The work is written in a self-contained manner, presupposing only some basic knowledge of algebra, geometry and differential equations.

Preface
Introductionp. 1
Gradient Systems in a Lie Algebrap. 5
Representation of a Gradient Systemp. 25
F. G. O. Lie Algebrasp. 49
Applicationsp. 77
Stabilization and Related Problemsp. 117
Appendixp. 197
Bibliographyp. 235
Subject Indexp. 237
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792357186
ISBN-10: 0792357183
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 243
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.77 x 16.51  x 2.54
Weight (kg): 0.54