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Integral Equations with Difference Kernels on Finite Intervals

  • Lev A. Sakhnovich

Part of the Advances and Applications book series (OT, volume 84)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Lev A. Sakhnovich
    Pages 1-6
  3. Lev A. Sakhnovich
    Pages 61-94
  4. Lev A. Sakhnovich
    Pages 95-105
  5. Lev A. Sakhnovich
    Pages 107-117
  6. Lev A. Sakhnovich
    Pages 153-164
  7. Back Matter
    Pages 165-178

About this book

Introduction

Optimal synthesis, light scattering, and diffraction on a ribbon are just some of the applied problems for which integral equations with difference kernels are employed. The same equations are also met in important mathematical problems such as inverse spectral problems, nonlinear integral equations, and factorization of operators.

On the basis of the operator identity method, the theory of integral operators with difference kernels is developed here, and the connection with many applied and theoretical problems is studied. A number of important examples are analyzed.

Keywords

Eigenvalue Finite Identity Integral equation differential equation equation extrema function logarithm

Authors and affiliations

  • Lev A. Sakhnovich
    • 1
  1. 1.Electrical Engineering InstituteOdessaUkraine

Bibliographic information