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Item Details
Title: ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENT
By: S. K. Godunov
Format: Hardback

List price: £144.00


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ISBN 10: 0821806564
ISBN 13: 9780821806562
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1997
Series: Translations of Mathematical Monographs Reprint No. 169
Pages: 284
Description: Presents the theory of ordinary differential equations with constant coefficients. This work considers boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability. It also describes algorithms and computational procedures, including the orthogonal sweep method.
Synopsis: 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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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