Differential Equations with Involutions

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mathematical Physics
Cover of the book Differential Equations with Involutions by Alberto Cabada, F. Adrián F. Tojo, Atlantis Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alberto Cabada, F. Adrián F. Tojo ISBN: 9789462391215
Publisher: Atlantis Press Publication: January 6, 2016
Imprint: Atlantis Press Language: English
Author: Alberto Cabada, F. Adrián F. Tojo
ISBN: 9789462391215
Publisher: Atlantis Press
Publication: January 6, 2016
Imprint: Atlantis Press
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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Atlantis Press

Cover of the book Index-aware Model Order Reduction Methods by Alberto Cabada, F. Adrián F. Tojo
Cover of the book State-Dependent Impulses by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Lovestruck in Italy by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Normally Hyperbolic Invariant Manifolds by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Proceedings of the 22nd International Conference on Industrial Engineering and Engineering Management 2015 by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Proceedings of the 6th International Asia Conference on Industrial Engineering and Management Innovation by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Modeling in Mathematics by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Logics in Computer Science by Alberto Cabada, F. Adrián F. Tojo
Cover of the book We are Big Data by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Nanotechnology in a Nutshell by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Characterizations of Univariate Continuous Distributions by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Introduction to Global Variational Geometry by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Applied Mathematics by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Cartan Geometries and their Symmetries by Alberto Cabada, F. Adrián F. Tojo
Cover of the book Ordered Random Variables: Theory and Applications by Alberto Cabada, F. Adrián F. Tojo
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy