Accession Number : AD0666738

Title :   BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS IN A BANACH SPACE. I,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Krein,S. G. ; Laptev,G. I.

Report Date : 29 AUG 1967

Pagination or Media Count : 21

Abstract : It is indicated that a series of problems in mathematical physics (theory of wave-guides, hydrodynamics, and others) can be considered as boundary-value problems for the second-order equation the second derivative of u with respect to t = Au-f(t), 0 = or < t = or < T, where u(t) is a function to be determined and f(t) is a given function of a complex Banach space E and A in a bounded linear operator. The solution u(t) is sought which satisfies a system of boundary conditions.

Descriptors :   (*FUNCTIONAL ANALYSIS, DIFFERENTIAL EQUATIONS), (*DIFFERENTIAL EQUATIONS, PROBLEM SOLVING), BOUNDARY VALUE PROBLEMS, BANACH SPACE, MATRICES(MATHEMATICS), THEOREMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE