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Titlebook: Global Solution Branches of Two Point Boundary Value Problems; Renate Schaaf Book 1990 Springer-Verlag Berlin Heidelberg 1990 Bifurkation.

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樓主
發(fā)表于 2025-3-21 17:05:10 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Global Solution Branches of Two Point Boundary Value Problems
編輯Renate Schaaf
視頻videohttp://file.papertrans.cn/387/386583/386583.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Global Solution Branches of Two Point Boundary Value Problems;  Renate Schaaf Book 1990 Springer-Verlag Berlin Heidelberg 1990 Bifurkation.
描述The book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.
出版日期Book 1990
關(guān)鍵詞Bifurkation; Boundary value problem; Hamiltonian systems; Hamiltonsche Gleichungen; Randwertprobleme; bif
版次1
doihttps://doi.org/10.1007/BFb0098346
isbn_softcover978-3-540-53514-0
isbn_ebook978-3-540-46742-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1990
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0075-8434 ons. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solut
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地板
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0075-8434 rential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.978-3-540-53514-0978-3-540-46742-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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978-3-540-53514-0Springer-Verlag Berlin Heidelberg 1990
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Global Solution Branches of Two Point Boundary Value Problems978-3-540-46742-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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https://doi.org/10.1007/BFb0098346Bifurkation; Boundary value problem; Hamiltonian systems; Hamiltonsche Gleichungen; Randwertprobleme; bif
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