Perturbations of nonlinear systems of differential equations, IV

Fred Brauer

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


Several perturbation theorems are proved for nonlinear ordinary differential equations for which all solutions of the linearized equation are integrable. This gives a practical type of stability expressing the property that solutions tend to zero, and measures of the effect of various types of perturbations on such systems.

Original languageEnglish (US)
Pages (from-to)214-222
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Jan 1972
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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