Accession Number : AD0264605

Title :   ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF DIFFERENTIAL - DIFFERENCE EQUATIONS

Corporate Author : MARTIN CO BALTIMORE MD RESEARCH INST FOR ADVANCED STUDIES

Personal Author(s) : HALE,JACK K.

Report Date : 1961

Pagination or Media Count : 1

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.

Descriptors :   *DIFFERENCE EQUATIONS, *DIFFERENTIAL EQUATIONS, *PERTURBATION THEORY, INTEGRAL TRANSFORMS, INTEGRALS

Distribution Statement : APPROVED FOR PUBLIC RELEASE