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Ordinary Differential Equations With Constant Coefficient (Translations of Mathematical Monographs) - Hardcover

Godunov, S. K.

 
9780821806562: Ordinary Differential Equations With Constant Coefficient (Translations of Mathematical Monographs)

Inhaltsangabe

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uravneniia s postoiannymi koeffitsientami published by Novosibirsk State University in 1994, and chapter four of the unpublished second volume.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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