Stability and Instability Conditions for Nonlinear Evolutional Equations in Hilbert Spaces,

Abstract

Sufficient conditions for stability, global asymptotic stability and explosive instability are established for a class of nonlinear evolutional equations defined in Hilbert spaces by using certain relations between an abstract function and its Gateaux differential. These results are applied to specific forms of nonlinear evolutional equations arising from physics, in particular, a finite-dimensional system of complex ordinary differential equations, functional differential equations, and systems of complex partial differential equations describing nonlinear diffusion or wave phenomena.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA023220

Entities

People

  • Paul Keng Chieh Wang

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Diffusion
  • Equations
  • Explosives
  • Hilbert Space
  • Instability
  • Mathematical Analysis
  • Partial Differential Equations
  • Wave Phenomena

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Engineering

Technology Areas

  • Space