An Abstract Functional Differential Equation and a Related Nonlinear Volterra Equation.

Abstract

An m-accretive operator is an abstration which covers many nonlinear differential operators arising in applications. This paper shows how certain problems involving evolution equations with m-accretive operators and delay effects in the time dependence can be discussed within the existing abstract theory. Indeed, a (theoretically) simple iterative procedure is shown to converge to the desired solution. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA046492

Entities

People

  • J. A. Nohel
  • M. G. Crandall

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Contracts
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Mathematics
  • Military Research
  • North Carolina
  • Personal Information Managers
  • Time Dependence
  • United States
  • Volterra Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis