1997; 282 pp; Hardcover
MSC: Primary 34; Secondary 49
Print ISBN: 978-0-8218-0656-2
Product Code: MMONO/169
List Price: $128.00
AMS Member Price: $102.40
MAA Member Price: $115.20
Electronic ISBN: 978-1-4704-4584-3
Product Code: MMONO/169.E
List Price: $120.00
AMS Member Price: $96.00
MAA Member Price: $108.00
Ordinary Differential Equations with Constant Coefficient
Share this pageS. K. Godunov
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.
Readership
Graduate students and research mathematicians interested in ordinary differential equations, computer science, and systems theory and control.
Table of Contents
Table of Contents
Ordinary Differential Equations with Constant Coefficient
- Cover Cover11
- Title page v6
- Contents vii8
- Preface ix10
- Matrix exponentials, Green matrices, and the Lopatinskii condition 112
- Quadratic Lyapunov functions 111122
- Qualitative properties of problems and algorithmic aspects 159170
- Linear control systems 209220
- References 279290
- Index 281292
- Back Cover Back Cover1295