ON ASYMPTOTIC STABILITY ACCORDING TO LYAPUNOV IN SOME CRITICAL CASES,

Abstract

Under consideration are systems of the type dx/dt= A(t)x, dx/dt= A(t)x + f(t,x), dx/dt= A(t)x + phi(t) + F(t,x). Some or all real parts of the eigenvalues of A(t) approach zero as t approaches + infinity. Sufficient conditions are obtained for asymptotic stability according to Lyapunov of the solutions of the systems as t approaches + infinity.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0684349

Entities

People

  • V. V. Kostin

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
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