Ordinary differential equations with constant coefficient

Author(s)

• Godunov, S. K. (Sergeĭ Konstantinovich)

Bibliographic Information

Ordinary differential equations with constant coefficient

S.K. Godunov ; [translated from the Russian by Tamara Rozhkovskaya with the participation of Scientific Books (RIMIBE NSU), Novosibirsk, Russia]

（Translations of mathematical monographs, v. 169）

American Mathematical Society, c1997

Other Title

Обыкновенные дифференциальные уравнения с постоянными коэффициентами

Obyknovennye different︠s︡ialʹnye uravnenii︠a︡ s postoi︠a︡nnymi koėffit︠s︡ientami

Note

"This book is a translation of the published first volume [Novosibirsk State University, 1994] and a chapter (Chapter 4 in this book) from the unpublished second volume in Russian" -- Pref

Includes bibliographical references (p. 279) and index

Description and Table of Contents

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 Lure-Riccati equations are studied.

Table of Contents

Matrix exponentials, Green matrices, and the Lopatinskii condition Quadratic Lyapunov functions Qualitative properties of problems and algorithmic aspects Linear control systems References Index.

by "Nielsen BookData"

Details

• NCID: BA32195195
• ISBN:
  • 0821806564
• LCCN: 97020182
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Providence, R.I.
• Pages/Volumes: ix, 282 p.
• Size: 27 cm
• Classification:
  • NDC8 : 410.8
  • NDC8 : 413.6
  • LCC : QA372
  • DC21 : 515/.352
• Subject Headings:
  • LCSH : Differential equations
• Parent Bibliography ID:
  • BA00080309