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Titlebook: Dynamics of Infinite Dimensional Systems; Shui-Nee Chow,Jack K. Hale Conference proceedings 1987 Springer-Verlag Berlin Heidelberg 1987 bi

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書目名稱Dynamics of Infinite Dimensional Systems
編輯Shui-Nee Chow,Jack K. Hale
視頻videohttp://file.papertrans.cn/285/284099/284099.mp4
叢書名稱NATO ASI Subseries F:
圖書封面Titlebook: Dynamics of Infinite Dimensional Systems;  Shui-Nee Chow,Jack K. Hale Conference proceedings 1987 Springer-Verlag Berlin Heidelberg 1987 bi
描述The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better j
出版日期Conference proceedings 1987
關(guān)鍵詞bifurcation; differential equation; dynamical systems; group; hyperbolic system; integrable system; integr
版次1
doihttps://doi.org/10.1007/978-3-642-86458-2
isbn_softcover978-3-642-86460-5
isbn_ebook978-3-642-86458-2Series ISSN 0258-1248
issn_series 0258-1248
copyrightSpringer-Verlag Berlin Heidelberg 1987
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Qualitative Behavior of the Solutions of Periodic First Order Scalar Differential Equations with St if f(x,.) is uniformly coercive, i.e.. uniformly in x ∈ ?, then there exists s. ∈ ? such that the equation . has exactly zero, one or two T-periodic solutions according to s < s., s = s. or s > s.. The aim of this note is to complete the result by getting a fairly complete picture of the trajectoires of (1) under the same assumptions upon f.
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Seeing and the Experience of Pictures,te the Banach space of continuous functions ψ: [?h, 0] →R. with the norm., where |?| is any convenient norm in R.. For H>0, let C. designate the open ball in C for which ||ψ||
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