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Titlebook: Introduction to Functional Differential Equations; Jack K. Hale,Sjoerd M. Verduyn Lunel Textbook 1993 Springer Science+Business Media New

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發(fā)表于 2025-3-21 19:18:53 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Introduction to Functional Differential Equations
編輯Jack K. Hale,Sjoerd M. Verduyn Lunel
視頻videohttp://file.papertrans.cn/474/473720/473720.mp4
叢書名稱Applied Mathematical Sciences
圖書封面Titlebook: Introduction to Functional Differential Equations;  Jack K. Hale,Sjoerd M. Verduyn Lunel Textbook 1993 Springer Science+Business Media New
描述The present book builds upon an earlier work of J. Hale, "Theory of Func- tional Differential Equations" published in 1977. We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin- ear systems (Chapters 6~9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global at- tractors was completely revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (see Chapters 1, 2, 3, 9, and 10). Chapter 12 is completely new and contains a guide to active topics of re- search. In the sections on supplementary remarks, we have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive. Jack K. Hale Sjoerd M. Verduyn Lunel Contents Preface............................................................ v Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . 1. Linear differential difference equations
出版日期Textbook 1993
關(guān)鍵詞Invariant; boundary element method; differential equation; equation; function; functional; manifold; presen
版次1
doihttps://doi.org/10.1007/978-1-4612-4342-7
isbn_softcover978-1-4612-8741-4
isbn_ebook978-1-4612-4342-7Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1993
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:22:51 | 只看該作者
Properties of the solution map,ajectories is not. To be more specific, if . (.) is a solution of an RFDE(.) through (., .), should the solution map be considered as the map x(.)(.): . → ?. or the map T(., .). → . defined in Section 2.5 as .(.)? = ..(.)?
板凳
發(fā)表于 2025-3-22 02:14:18 | 只看該作者
Autonomous and periodic processes,sses, we will develop the theory in an abstract setting and point out special features that apply to RFDE. The abstract setting also will be sufficiently general to apply to the neutral functional differential equations in Chapter 9.
地板
發(fā)表于 2025-3-22 07:34:21 | 只看該作者
Stability theory,In this chapter, we discuss methods for determining stability and ultimate boundedness of solutions of RFDE. The method of Liapunov functionals is discussed as well as the method based on the use of functions on ?. in the spirit of Razumikhin.
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Linear autonomous equations,A linear autonomous RFDE has the form . where . is a continuous linear mapping from . into ?..
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發(fā)表于 2025-3-22 20:30:43 | 只看該作者
Equations of neutral type,In this chapter we discuss a particular class of neutral equations for which a qualitative theory is available and for which one can reproduce a theory similar to the one for RFDE.
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Applied Mathematical Scienceshttp://image.papertrans.cn/i/image/473720.jpg
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