On Asymptotic Behaviour of Solutions of a First Order Functional Differential Equation
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 135
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 :
34K20
D. C. Angelova; Drumi D. Bainov. On Asymptotic Behaviour of Solutions of a First Order Functional Differential Equation. Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 135 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a18/
@article{PIM_1986_N_S_39_53_a18,
author = {D. C. Angelova and Drumi D. Bainov},
title = {On {Asymptotic} {Behaviour} of {Solutions} of a {First} {Order} {Functional} {Differential} {Equation}},
journal = {Publications de l'Institut Math\'ematique},
pages = {135 },
year = {1986},
volume = {_N_S_39},
number = {53},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a18/}
}
TY - JOUR AU - D. C. Angelova AU - Drumi D. Bainov TI - On Asymptotic Behaviour of Solutions of a First Order Functional Differential Equation JO - Publications de l'Institut Mathématique PY - 1986 SP - 135 VL - _N_S_39 IS - 53 UR - http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a18/ LA - en ID - PIM_1986_N_S_39_53_a18 ER -
%0 Journal Article %A D. C. Angelova %A Drumi D. Bainov %T On Asymptotic Behaviour of Solutions of a First Order Functional Differential Equation %J Publications de l'Institut Mathématique %D 1986 %P 135 %V _N_S_39 %N 53 %U http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a18/ %G en %F PIM_1986_N_S_39_53_a18