Accession Number : AD0420342

Title :   EXISTENCE AND APPROXIMATION THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS AND THEIR SYSTEMS PART I,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Sarafyan,Diran

Report Date : JUN 1963

Pagination or Media Count : 25

Abstract : An existence theorem for y' =f(x, y) is established by assuming only the continuity of f(x, y) and by using a class of recurrence relations instead of Euler's formula used in Peano's theorem. This theorem is extended to the system of ordinary differential equations. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, THEORY), FUNCTIONS(MATHEMATICS), REAL VARIABLES, RINGS, INEQUALITIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE