ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF DIFFERENTIAL - DIFFERENCE EQUATIONS
Abstract
The theory on perturbed differential-difference equations is given. The use of ordinary differential equations is necessary in the testing of perturbation functions by use of the Lyapunov functional. The advantages in using this particular function are two-fold. First, the unperturbed eq ation may be either linear or nonlinear. Secondly, there is no need f r an integral representation for the soluti ns.AD- 64 6059N >A -264 606Div. 15U (TIPSP/MFA) OTS price $1.60 RIAS, Inc., Baltimore, Md. ON THE GLOBAL STABILITY OF AN AUTONO OUS SYSTEM ON THE PLANE, by Czeslaw Olech. 1961, 16p. (Technical rept. no. 61-12) (Contract AF 49(638)382) (AFOSR 1130)Unclassified report ESCRIPTORS: (*Nu erical analysis, *Curve fitting, *Spheres, Linear systems.) (Func tions, Equations, *Differential equations, Par tia differential equations, Matrix algebra, Green's function.) Open-ended Terms: Jacobian matrix, Global sta ility, Plane. A discussion is presented on global asymptotic stability in the large or systems of ordinary differential equations. Problems and proofs are given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1961
- Accession Number
- AD0264605
Entities
People
- Jack K. Hale
Organizations
- Glenn L. Martin Company