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Topological Methods for Ordinary Differential Equations : Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 24-July 2, 1991 / by Patrick Fitzpatrick, Mario Martelli, Jean Mawhin, Roger Nussbaum ; edited by Massimo Furi, Pietro Zecca
(C.I.M.E. Foundation Subseries ; 1537)
版 | 1st ed. 1993. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 1993 |
大きさ | VIII, 220 p : online resource |
著者標目 | *Fitzpatrick, Patrick author Martelli, Mario author Mawhin, Jean author Nussbaum, Roger author Furi, Massimo editor Zecca, Pietro editor SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Topology FREE:Analysis FREE:Topology |
一般注記 | The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps -- Continuation principles and boundary value problems -- Topological degree and boundary value problems for nonlinear differential equations -- The fixed point index and fixed point theorems The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems HTTP:URL=https://doi.org/10.1007/BFb0085073 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540475637 |
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EB00210375 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000109421 |
ISBN | 9783540475637 |
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