(DOWNLOAD) "Differential Equations with Involutions" by Alberto Cabada & F. Adrián F. Tojo " Book PDF Kindle ePub Free

eBook details

Title: Differential Equations with Involutions
Author : Alberto Cabada & F. Adrián F. Tojo
Release Date : January 06, 2016
Genre: Mathematics,Books,Science & Nature,Physics,
Pages : * pages
Size : 4608 KB

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.