A Semigroup Approach to Partial Differential Equations with Delay,

Abstract

The objective of this investigation is to give sufficient conditions on f and g such that local semigroups can be associated with the equation (1). This will imply representation formulas for the solutions of (1), and secondly to discuss various notions of solutions which have arisen in the study of (1). Although only the autonomous equation is considered here, many of the results remain true if f and g depend on t. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA082070

Entities

People

  • Karl Kunisch

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Banach Space
  • Differential Equations
  • Equations
  • Exponential Functions
  • Mathematics
  • Partial Differential Equations
  • Scientific Research

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.