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＜電子ブック＞
Differential Equations / by Viorel Barbu
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2016.
出版者	Cham : Springer International Publishing : Imprint: Springer
出版年	2016
本文言語	英語
大きさ	XI, 224 p. 16 illus : online resource
著者標目	*Barbu, Viorel author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:System theory LCSH:Control theory FREE:Differential Equations FREE:Systems Theory, Control
一般注記	Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained HTTP:URL=https://doi.org/10.1007/978-3-319-45261-6

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