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Titlebook: Existence Theory for Nonlinear Integral and Integrodifferential Equations; Donal O’Regan,Maria Meehan Book 1998 Springer Science+Business

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樓主
發(fā)表于 2025-3-21 18:42:09 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Existence Theory for Nonlinear Integral and Integrodifferential Equations
編輯Donal O’Regan,Maria Meehan
視頻videohttp://file.papertrans.cn/319/318548/318548.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Existence Theory for Nonlinear Integral and Integrodifferential Equations;  Donal O’Regan,Maria Meehan Book 1998 Springer Science+Business
描述The theory of integral and integrodifferential equations has ad- vanced rapidly over the last twenty years. Of course the question of existence is an age-old problem of major importance. This mono- graph is a collection of some of the most advanced results to date in this field. The book is organized as follows. It is divided into twelve chap- ters. Each chapter surveys a major area of research. Specifically, some of the areas considered are Fredholm and Volterra integral and integrodifferential equations, resonant and nonresonant problems, in- tegral inclusions, stochastic equations and periodic problems. We note that the selected topics reflect the particular interests of the authors. Donal 0 ‘Regan Maria Meehan CHAPTER 1 INTRODUCTION AND PRELIMINARIES 1.1. Introduction The aim of this book is firstly to provide a comprehensive existence the- ory for integral and integrodifferential equations, and secondly to present some specialised topics in integral equations which we hope will inspire fur- ther research in the area. To this end, the first part of the book deals with existence principles and results for nonlinear, Fredholm and Volterra inte- gral and integrodifferential equati
出版日期Book 1998
關(guān)鍵詞Integral equation; differential equation; ordinary differential equation; ordinary differential equatio
版次1
doihttps://doi.org/10.1007/978-94-011-4992-1
isbn_softcover978-94-010-6095-0
isbn_ebook978-94-011-4992-1
copyrightSpringer Science+Business Media Dordrecht 1998
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沙發(fā)
發(fā)表于 2025-3-21 21:59:24 | 只看該作者
板凳
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Frontiers of Mathematical Psychology while selected topics (which reflect the particular interests of the authors) such as nonresonance and resonance problems, equations in Banach spaces, inclusions, and stochastic equations are presented in the latter part.
地板
發(fā)表于 2025-3-22 08:10:06 | 只看該作者
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https://doi.org/10.1007/978-1-4613-2181-1 having knowledge of the eigenvalues of .. We present an existence principle which establishes the existence of a solution . ∈ . of (6.1.1), and from this we obtain an existence result for (6.1.2) when the nonlinear operator . satisfies a growth condition.
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Existence Theory for Nonlinear Fredholm and Volterra Integral Equations on Half-Open Intervals,solution . ∈ .[0, ∞) of (5.1.1) when . = ∞. Examining the Volterra integral equation independently, yields a further two existence principles providing us with conditions under which a solution . ∈ ..[0, .) or . ∈ .[0, .) exists for (5.1.2). Using the existence principles established, several existence results are presented for both equations.
9#
發(fā)表于 2025-3-23 04:47:40 | 只看該作者
Existence Theory for Nonlinear Nonresonant Operator and Integral Equations, having knowledge of the eigenvalues of .. We present an existence principle which establishes the existence of a solution . ∈ . of (6.1.1), and from this we obtain an existence result for (6.1.2) when the nonlinear operator . satisfies a growth condition.
10#
發(fā)表于 2025-3-23 06:11:01 | 只看該作者
Periodic Solutions for Operator Equations,.1) reduces to a first order differential equation, namely, . there are many results in the literature (here: [0, .] × . → . is a ..-Carathéodory function); we refer the reader to [., ., ., .]. The ideas in this chapter were adapted from Meehan and O’Regan [.].
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