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