
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