Differential Equations with Involutions
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Science & Technology
Art & Photography
格式
Kindle
页数
168
语言
荷兰语，佛兰芒语
已发布
Jan 1, 2016
出版商
Atlantis Press
版本
1st ed. 2015
ISBN-10
9462391211
ISBN-13
9789462391215
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.