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Differential Equations with Involutions

Автор: Bo0mB0om » 15 августа 2016

[center]Differential Equations with Involutions
[b]Differential Equations with Involutions[/b]
Atlantis Press | Mathematics | February 7, 2016 | ISBN-10: 9462391203 | 154 pages | pdf | 1.89 mb

Authors: Cabada, Alberto, F. Tojo, F. Adrián
First monograph on the subject
Many examples to illustrate the theory
Open problems to work on


[/center]


[center]Differential Equations with Involutions
[b]Differential Equations with Involutions[/b]
Atlantis Press | Mathematics | February 7, 2016 | ISBN-10: 9462391203 | 154 pages | pdf | 1.89 mb

Authors: Cabada, Alberto, F. Tojo, F. Adrián
First monograph on the subject
Many examples to illustrate the theory
Open problems to work on

[b]About this book[/b]
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.
[b]Number of Illustrations and Tables[/b]
5 illus., 1 in colour
[b]Topics[/b]
Ordinary Differential Equations
Mathematical Methods in Physics


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