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Characteristics of Distributed-Parameter Systems

Handbook of Equations of Mathematical Physics and Distributed-Parameter Systems

  • A. G. Butkovskiy
  • L. M. Pustyl’nikov
Book

Part of the Mathematics and Its Applications book series (MAIA, volume 266)

Table of contents

  1. Front Matter
    Pages i-xix
  2. A. G. Butkovskiy, L. M. Pustyl’nikov
    Pages 1-199
  3. A. G. Butkovskiy, L. M. Pustyl’nikov
    Pages 200-315
  4. A. G. Butkovskiy, L. M. Pustyl’nikov
    Pages 316-359
  5. Back Matter
    Pages 360-388

About this book

Introduction

This book is a continuation of the book Green's Functions and Transfer Functions [35] written some ten years ago. However, there is no overlap whatsoever in the contents of the two books, and this book can be used quite independently of the previous one. This series of books represents a new kind of handbook, in which are collected data on the characteristics of systems with distributed and lumped parameters. The present volume covers some two hundred problems. Essentially, this book should be considered as a desktop handbook, intended, like [35], to give rapid "on-line" access to relevant data about problems. For each problem, the book lists all the main characteristics of the solution: standardising functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and other data. In addition to systems described by a single differential equation, this volume also includes degenerate multiconnected systems, systems for which no Green's function or matrix exists, and other special cases which are important for applications.

Keywords

Mathematica differential equation eigenvalue mathematical physics physics

Authors and affiliations

  • A. G. Butkovskiy
    • 1
  • L. M. Pustyl’nikov
    • 1
  1. 1.Russian Academy of SciencesMoscowRussia

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