BOUNDARY VALUE APPLICATION OF A ONE-DIMENSIONAL MAXIMUM PRINCIPLE.

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0701676

Entities

People

  • James Dale Jones

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Intervals
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra