Differential Equations with Involutions
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Science & Technology
Art & Photography
Format
Kindle
Pages
168
Language
Dutch, Flemish
Published
Jan 1, 2016
Publisher
Atlantis Press
Edition
1st ed. 2015
ISBN-10
9462391211
ISBN-13
9789462391215
Description
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.
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