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<図書>
Classical methods in ordinary differential equations : with applications to boundary value problems

責任表示 Stuart P. Hastings, J. Bryce McLeod
シリーズ Graduate studies in mathematics ; v. 129
データ種別 図書
出版者 Providence, R.I. : American Mathematical Society
出版年 c2012
本文言語 英語
大きさ xvii, 373 p. ; 27 cm
概要 This text is for graduate students and researchers who have had at least a standard graduate course in ordinary differential equations (ODEs). Some sections of the book contain more advanced material,...particularly nonlinear functional analysis and some topics in the calculus of variations. Readers with only a graduate course in ODEs will find this material challenging. The book presents classic proofs and modern methods for the analysis of boundary value problems for ODEs. In many cases, several approaches are given for solving the same problem. Emphasis is on mathematical techniques, rather than results or applications, although applied problems illustrate the techniques. Chapter exercises and proofs are included. The final chapter presents three unsolved problems. Information on the authors is not given. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com) 続きを見る

所蔵情報

: hbk 理系図3F 数理独自 033212011006820 HAST/50/1 2012

書誌詳細

一般注記 Includes bibliographical references and index
"Applied mathematics" -- Cover
著者標目 *Hastings, Stuart P., 1937-
McLeod, J. Bryce, 1929-
件 名 LCSH:Boundary value problems
LCSH:Differential equations, Nonlinear
FREE:Ordinary differential equations -- Boundary value problems -- Nonlinear boundary value problems. msc  全ての件名で検索
FREE:Ordinary differential equations -- Boundary value problems -- Singular nonlinear boundary value problems. msc  全ての件名で検索
FREE:Ordinary differential equations -- Qualitative theory -- Complex behavior, chaotic systems. msc  全ての件名で検索
FREE:Ordinary differential equations -- Qualitative theory -- Homoclinic and heteroclinic solutions. msc  全ての件名で検索
FREE:Ordinary differential equations -- Asymptotic theory -- Asymptotic expansions. msc  全ての件名で検索
FREE:Partial differential equations -- General topics -- Methods of ordinary differential equations. msc  全ての件名で検索
FREE:Partial differential equations -- Representations of solutions -- Traveling wave solutions. msc  全ての件名で検索
FREE:Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Homoclinic and heteroclinic orbits. msc  全ての件名で検索
FREE:Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Strange attractors, chaotic dynamics. msc  全ての件名で検索
分 類 LCC:QA379
DC23:515/.352
書誌ID 1001465811
ISBN 9780821846940
NCID BB07971803
巻冊次 : hbk ; ISBN:9780821846940
登録日 2012.01.26
更新日 2012.01.26

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