Ordinary Differential Equations with Constant Coefficient

Ordinary Differential Equations with Constant Coefficient

by S. K. Godunov
     
 

ISBN-10: 0821806564

ISBN-13: 9780821806562

Pub. Date: 08/19/1997

Publisher: American Mathematical Society

This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability are considered

Overview

This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability are considered. This volume can be used for practical study of ordinary differential equations using computers. In particular, algorithms and computational procedures, including the orthogonal sweep method, are described. The book also deals with stationary optimal control systems described by systems of ordinary differential equations with constant coefficients. The notions of controllability, observability, and stabilizability are analyzed, and some questions on the matrix Lure-Riccati equations are studied.

Product Details

ISBN-13:
9780821806562
Publisher:
American Mathematical Society
Publication date:
08/19/1997
Series:
Translations of Mathematical Monographs Series, #169
Pages:
282

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