Indirect Quantitative Methods for Determining Solutions to Ordinary Differential Equations.

Abstract

The subject of differential equation constitutes a large and very important branch of modern mathematics. From the early days of Calculus the subject has been an area of great theoretical research and practical applications, and it continues to be so to date. Therefore, a natural question arises: How does one obtain useful information from a differential equation. The answer is essentially that if it is possible to do so, one solves the differential equation to obtain a solution, if it is not possible, one uses the theory of differential equations to obtain information about the solution. In the text we will investigate some ordinary differential equations in self-adjoint form and when possible determine the behavior of solutions without actually solving the differential equation.

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Document Details

Document Type
Technical Report
Publication Date
Dec 21, 1979
Accession Number
ADA105380

Entities

People

  • Harold J. Harris

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Autonomous Systems
  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Capillary Electrophoresis
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Energy
  • Equations
  • Formulas (Mathematics)
  • Linear Differential Equations
  • Liouville Equation
  • Mathematics
  • New York
  • Oscillation
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.