The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Considers boundary value problems for ordinary equations, Green matrices and functions, the Lopatinskii condition, and Lyapunov stability. Describes algorithms and computational procedures, including the orthogonal sweep method; stationary optimal control systems; the notions of controllability, observability, and stabilizability; and some questions on the matrix LurT-Riccati equations. Addressed to graduate and research mathematicians. Translated from the first volume of Obyknovennye differentsial'nye uravneniia s postoiannymi koeffitsientami published by Novosibirsk State University in 1994, and chapter four of the unpublished second volume. Annotation c. by Book News, Inc., Portland, Or.
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Zustand: New. 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. Series: Translations of Mathematical Monographs Reprint. Num Pages: 284 pages. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 737. . 1997. hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780821806562
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