Accession Number : AD0701676

Title :   BOUNDARY VALUE APPLICATION OF A ONE-DIMENSIONAL MAXIMUM PRINCIPLE.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Jones,James Dale

Report Date : JUN 1969

Pagination or Media Count : 66

Abstract : The problem considered is the application of a one-dimensional maximum principle to second order, linear differential equations of the form u'' + g(x)u' + h(x)u = f(x) for a < x < b with associated general boundary conditions to obtain functions z1(x) and z2(x) such that z2(x) = or < u(x) = or < z1(x) on the closed interval (a,b). The functions f, g, and h are assumed to be bounded. We wish to determine the behavior of the solution u(x) on the closed interval (a,b) and also to obtain reliable numerical estimates of u. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS)), BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, INEQUALITIES, THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE