Green's Functions : : Construction and Applications / / Yuri A. Melnikov, Max Y. Melnikov.

Green's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharm...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Studies in Mathematics , 42
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Physical Description:1 online resource (435 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 0. Introduction
  • Chapter 1. Green’s Functions for ODE
  • Chapter 2. The Laplace Equation
  • Chapter 3. The Static Klein–Gordon Equation
  • Chapter 4. Higher Order Equations
  • Chapter 5. Multi-Point-Posed Problems
  • Chapter 6. PDE Matrices of Green’s type
  • Chapter 7. Diffusion Equation
  • Chapter 8. Black–Scholes Equation
  • Appendix. Answers to Chapter Exercises
  • Bibliography
  • Index