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Functional equations with causal operators
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Functional equations with causal operators

Functional equations with causal operators

C. Corduneanu

186 pages, parution le 20/09/2002

Résumé

This volume is intended to provide basic theory of functional equations (including functional differential equations) with causal operators. These equations encompass most of the types of equations which are used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument and integro-differential equations of the Volterra type.Functional Equations with Causal Operators presents the connection between equations with causal operators and the classical types of functional equation encountered in much of the literature in this field. The work provides basic theorems of existence and uniqueness of solutions, and properties of solutions or families of solutions. It also describes in detail the fundamentals of linear equations, stability theory and several applications and examples.Contents:
  • Auxiliary concepts
  • Existence Theory for Functional Equations with Causal Operators
  • Linear and Quasilinear Equations with Causal Operators
  • Stability Theory
  • Neutral Functional Equations
Readership: Researchers and graduates interested in applied mathematics, functional differential equations and control problems. Contents
  1. Introduction
  2. Auxilliary Concepts
  3. Existence Theory for Functional Equations With Causal Operators
  4. Linear Quasilinear Equations with Causal Operators
  5. Stability Theory
  6. Neutral Functional Equations
  7. Miscellanea (Applications and Generalizations)

Caractéristiques techniques

  PAPIER
Éditeur(s) Taylor and Francis Books
Auteur(s) C. Corduneanu
Parution 20/09/2002
Nb. de pages 186
Format 17,5 x 25
Couverture Broché
Poids 500g
Intérieur Noir et Blanc
EAN13 9780415271868
ISBN13 978-0-415-27186-8

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