Accession Number : AD0708139

Title :   EXPONENTIAL ESTIMATES AND THE SADDLE POINT PROPERTY FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Hale,J. K. ; Cruz,M. A.

Report Date : JUN 1970

Pagination or Media Count : 37

Abstract : The paper is concerned with determining in what sense the asymptotic behavior of the solutions of a certain class of differential-difference equations of the neutral type is given from a knowledge of the solutions of the characteristic equation. The results are stated in terms of general functional differential equations which include differential-difference equations. An application to perturbed linear equations is indicated by discussing the saddle point property for nonlinear autonomous systems. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), DIFFERENCE EQUATIONS, STEEPEST DESCENT METHOD, BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY, BANACH SPACE, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE