Accession Number : AD0731557

Title :   An Investigation of Differential Equations Close to Homogeneous Ones.

Descriptive Note : R. E. Gibson Library bulletin translation series,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Malyshev,Yu. V.

Report Date : 12 APR 1971

Pagination or Media Count : 21

Abstract : Considered is the behavior of integral curves of the equation dy/dx = a(sub n) x(sup n) +...+ a(sub 0) y(sup n) + q(x,y)/b(sub n) x(sup n) +...+ b9sub 0)y(sup n) + p(x,y) in the neighborhood of a singular point. The use of lines of maximum and minimum with respect to the radius-vector of the solutions makes it possible to give an improved picture of the behavior of integral curves. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), INTEGRATION, CURVE FITTING, CONVERGENCE, ANALYTIC FUNCTIONS, THEOREMS, USSR

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE