Accession Number : AD0648185

Title :   THE SOLUTION OF CERTAIN FUNCTIONAL EQUATIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Persidskaya-Bulaseva,L. K.

Report Date : OCT 1966

Pagination or Media Count : 17

Abstract : The problem considered in the paper is that of solving differential equations in a Banach space, that is, to construct an operator which has a given Gateaux derivative. The solution to this problem is obtained in a fashion analogous to the solution of the initial-value problem for an ordinary differential of first order, which leads to bounds for the growth of the operator solution. (Author)

Descriptors :   (*EQUATIONS, *BANACH SPACE), (*DIFFERENTIAL EQUATIONS, *FUNCTIONAL ANALYSIS), OPERATORS(MATHEMATICS), CAUCHY PROBLEM, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE