Perturbations of nonlinear systems of differential equations, IV

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

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
Volume37
Issue number1
DOIs
StatePublished - Jan 1 1972
Externally publishedYes

Fingerprint

System of Differential Equations
Nonlinear systems
Differential equations
Nonlinear Systems
Perturbation
Nonlinear Ordinary Differential Equations
Ordinary differential equations
Tend
Zero
Theorem

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Perturbations of nonlinear systems of differential equations, IV. / Brauer, Fred.

In: Journal of Mathematical Analysis and Applications, Vol. 37, No. 1, 01.01.1972, p. 214-222.

Research output: Contribution to journalArticle

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