Ordinary Differential Equations with Constant Coefficient
( Translations of Mathematical Monographs )
Publication series ： Translations of Mathematical Monographs
Author： S. K. Godunov
Publisher： American Mathematical Society
Publication year： 2018
E-ISBN: 9781470445843
P-ISBN(Paperback): 9780821806562
Subject： O175.1 Ordinary Differential Equations
Keyword： 数学
Language： ENG
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Ordinary Differential Equations with Constant Coefficient
Description
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 Luré-Riccati equations are studied.
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