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Differential Equations with Involutions

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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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Detail Information

Series Title

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Call Number

515.35

Publisher

Paris : Atlantis Press., 2015

Collation

xiv, 154 pages

Language

English

ISBN/ISSN

9789462391215

Classification

515.35

Content Type

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Media Type

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Carrier Type

online resource

Edition

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Subject(s)

Differential equations

Specific Detail Info

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Statement of Responsibility

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Other Information

Cataloger

Kurnadi

Source

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