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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Differential Equations with Involutions

Differential Equations with Involutions

Cabada, Alberto
F. Tojo, F. Adrián

Paperback

Series: Atlantis Briefs in Differential Equations, Book 2

General MathematicsPhysics

ISBN10: 9462391203
ISBN13: 9789462391208
Publisher: Atlantis Pr
Published: Jan 15 2016
Pages: 154
Weight: 0.54
Height: 0.36 Width: 6.14 Depth: 9.21
Language: English
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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