
Accession Number : AD0713706
Title : ON EXTREMAL PROBLEMS RELATED TO EIGENVALUES OF LINEAR DIFFERENTIAL OPERATORS. I.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Nowosad,Pedro
Report Date : SEP 1969
Pagination or Media Count : 77
Abstract : The report discusses the problem of extremization of Re lambda, say, in the equation Ax = lambda rho(x), where A is a linear differential operator, x epsilon X, rho epsilon Q, with X and Q two suitable set of functions, under the additional condition the integral over rho = 1. A comparison theorem involving equalities is proved which brings to light the existence of an analytical structure in the problem. Several applications to concrete cases are given. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, *COMPLEX VARIABLES), PERTURBATION THEORY, MATRICES(MATHEMATICS), MEMBRANES, VIBRATION, OPTIMIZATION, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE