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  • Book
  • © 2015

Differential Equations with Involutions

  • First monograph on the subject
  • Many examples to illustrate the theory
  • Open problems to work on
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Briefs in Differential Equations (ABDE)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
  2. Involutions

    1. Front Matter

      Pages 1-1
    2. Involutions and Differential Equations

      • Alberto Cabada, F. Adrián F. Tojo
      Pages 3-16
    3. General Results for Differential Equations with Involutions

      • Alberto Cabada, F. Adrián F. Tojo
      Pages 17-23
  3. Green’s Functions

    1. Front Matter

      Pages 25-25
    2. Order One Problems with Constant Coefficients

      • Alberto Cabada, F. Adrián F. Tojo
      Pages 27-73
    3. The Non-constant Case

      • Alberto Cabada, F. Adrián F. Tojo
      Pages 75-99
    4. General Linear Equations

      • Alberto Cabada, F. Adrián F. Tojo
      Pages 101-122
  4. Applications

    1. Front Matter

      Pages 123-123
    2. A Cone Approximation to a Problem with Reflection

      • Alberto Cabada, F. Adrián F. Tojo
      Pages 125-151
  5. Back Matter

    Pages 153-154

About this book

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.

Authors and Affiliations

  • Departamento de Análise Matemática, Universidade de Santiago de Compostela Departamento de Análise Matemática, Santiago de Compostela, Spain

    Alberto Cabada, F. Adrián F. Tojo

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access