Green's Functions

Potential Fields on Surfaces

  • Yuri A. Melnikov
  • Volodymyr N. Borodin

Part of the Developments in Mathematics book series (DEVM, volume 48)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 1-50
  3. Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 51-83
  4. Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 85-105
  5. Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 107-145
  6. Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 147-172
  7. Back Matter
    Pages 173-198

About this book


This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.


two-point posed problem toroidal surface irregular regions toroidal cap Green's functions fields on surfaces compound structure spherical surface Green's function for ODE

Authors and affiliations

  • Yuri A. Melnikov
    • 1
  • Volodymyr N. Borodin
    • 2
  1. 1.Department of Mathematical SciencesMiddle Tennessee State UniversityMurfreesboroUSA
  2. 2.Department of Mechanical EngineeringTennessee Technological UniversityCookevilleUSA

Bibliographic information