Perturbations of nonlinear systems of differential equations, III

Fred Brauer, Aaron Strauss

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

Several perturbation theorems are proved for nonlinear ordinary differential systems x′ = f(t, x) for which the zero solution is uniformly stable in variation. This type of stability is, in general, more restrictive than uniform stability but is equivalent to it in the linear case. Under various growth conditions on g(t, x), the behavior of solutions of x′ = f(t, x) + g(t, x) is studied.

Original languageEnglish (US)
Pages (from-to)37-48
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume31
Issue number1
DOIs
StatePublished - Jan 1 1970
Externally publishedYes

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Uniform Stability
Behavior of Solutions
Growth Conditions
System of Differential Equations
Differential System
Nonlinear systems
Differential equations
Nonlinear Systems
Perturbation
Zero
Theorem

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Perturbations of nonlinear systems of differential equations, III. / Brauer, Fred; Strauss, Aaron.

In: Journal of Mathematical Analysis and Applications, Vol. 31, No. 1, 01.01.1970, p. 37-48.

Research output: Contribution to journalArticle

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