EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 39(53), pp. 135--147 (1986)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

 		 

ON ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF A FIRST ORDER FUNCTIONAL DIFFERENTIAL EQUATION

D. C. Angelova and D. D. Bainov

Institute for social management, Academy of medicine, Sofia

Abstract: Necessary and sufficient conditions for oscillation of solutions of the equation $$ y'(t)+ \gamma f(t,y(t),y(\Delta_1(t,y(t))),\dots, y(\Delta_n(t,y(t))))= Q(t),\enskip t\geq t_0\in R,\enskip \gamma= \pm 1,\enskip n\geq 1 $$ are obtained in the case when $Q(t)\equiv 0$ on $[t_0,\infty)$ and sufficient conditions for oscillation and/or nonoscillation are obtained in the case when $Q(t)\not\equiv 0$ on $[t_0,\infty)$. The asymptotic behaviour of oscillatory and nonoscillatory solutions of this equation is studied, too.

Classification (MSC2000): 34K20

Full text of the article:

Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition