Cosine Families and Damped Second Order Differential Equations.

Abstract

A variation of constants formula is given for certain second order differential equations in a Banach space. The abstract results obtained can be applied to a class of damped semilinear hyperbolic partial differential equations; in particular, the existence and asymptotic behavior of solutions of such equations is examined.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA103868

Entities

People

  • James H. Lightbourne Iii
  • Samuel M. Rankin Iii

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Continents
  • Contracts
  • Differential Equations
  • Equations
  • Geographic Regions
  • Identities
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North America
  • North Carolina
  • Partial Differential Equations
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space