Ordinary Differential Equations: Oscillation and Stability Theory.

Abstract

Appreciably larger domains of attraction were found for asymptotically stable equilibrium points of equations of the form x(double dot) + beta(x(dot)) + f(x) = 0; a generalization of a classical result for orthogonal polynomials was obtained; a new comparison theorem for conjugate points of equations (r(x)y) + p(x)y = 0 is given; the last yields a comparison theorem for the minimax function. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 06, 1978
Accession Number
ADA061891

Entities

People

  • Walter Leighton

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Differential Equations
  • Equations
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Oscillation
  • Polynomials
  • Real Variables
  • Security
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis