An Abstract Nonlinear Volterra Integrodifferential Equation.

Abstract

The nonlinear Volterra equation was studied as well as the corresponding problem with infinite delay. Under various assumptions on the nonlinear operators A, B and on the given functions a, F, f, h existence theorems are obtained for nonlinear volterra equation and nonlinear volterra equation with infinite delay, followed by results concerning boundedness and asymptotic behavior of solutions on (0 less than or equal to t less than infinity); two applications of the theory to problems of nonlinear heat flow with infinite memory are also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1976
Accession Number
ADA034483

Entities

People

  • J. A. Nohel
  • M. G. Crandall
  • S. -o. Londen

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Analogs
  • Banach Space
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Frequency
  • Frequency Domain
  • Functional Analysis
  • Heat Transmission
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Topology
  • United States
  • Volterra Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis