TWO-POINT BOUNDARY VALUE PROBLEMS OF FOURTH ORDER WITH POSITIVE GREEN'S FUNCTIONS

Abstract

There are derived sufficient conditions for the positivity of Green's function of two-point boundary value problems of the fourth order. The results are gained by applying a theorem on inverse-monotonic operators in partially ordered spaces. In the case of an example (beam on elastic support), the derived conditions are also necessary.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0616922

Entities

People

  • Johann Schroder

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Bending Moments
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Inequalities
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Real Variables
  • Scientific Research
  • Splitting

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra

Technology Areas

  • Space