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