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Titlebook: Differential Equations with Involutions; Alberto Cabada,F. Adrián F. Tojo Book 2015 Atlantis Press and the author(s) 2015 Differential Equ

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发表于 2025-3-21 18:23:46 | 显示全部楼层 |阅读模式
书目名称Differential Equations with Involutions
编辑Alberto Cabada,F. Adrián F. Tojo
视频video
概述First monograph on the subject.Many examples to illustrate the theory.Open problems to work on.Includes supplementary material:
丛书名称Atlantis Briefs in Differential Equations
图书封面Titlebook: Differential Equations with Involutions;  Alberto Cabada,F. Adrián F. Tojo Book 2015 Atlantis Press and the author(s) 2015 Differential Equ
描述This monograph covers the existing results regarding Green’s functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators.The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green’s functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties.Obtaining a Green’s function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.
出版日期Book 2015
关键词Differential Equations with reflection; Functional-Differential Equations of Carleman type; Green‘s fu
版次1
doihttps://doi.org/10.2991/978-94-6239-121-5
isbn_softcover978-94-6239-120-8
isbn_ebook978-94-6239-121-5Series ISSN 2405-6405 Series E-ISSN 2405-6413
issn_series 2405-6405
copyrightAtlantis Press and the author(s) 2015
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发表于 2025-3-21 20:58:35 | 显示全部楼层
Order One Problems with Constant Coefficients 32–46, 2013, [.]). We start studying the first order operator . coupled with periodic boundary value conditions. We describe the eigenvalues of the operator and obtain the expression of its related Green’s function in the nonresonant case. We also obtain the range of the values of the real paramete
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Atlantis Briefs in Differential Equationshttp://image.papertrans.cn/d/image/278698.jpg
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General Linear EquationsEs in order to solve them. Also, we describe a general method for obtaining the Green’s function of reducible functional differential equations and illustrate it with the case of homogeneous boundary value problems with reflection and several specific examples.
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https://doi.org/10.1007/978-3-642-49762-9ed in two sections that will explore the two kinds of properties, arriving at last to some parallelism between involutions and complex numbers for their capability to decompose certain polynomials (see Remark .). In this chapter we recall results from several authors.
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