Accession Number : AD0715964

Title :   Perturbations of Nonlinear Systems of Differential Equations, IV.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Brauer,Fred

Report Date : MAY 1970

Pagination or Media Count : 17

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. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, *PERTURBATION THEORY), NUMERICAL INTEGRATION, CONVEX SETS, MATRICES(MATHEMATICS), THEOREMS, STABILITY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE