Geodesic
Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients
Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 87-102.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we study the existence of oscillatory and nonoscillatory solutions of neutral differential equations of the form \(x(t)-cx(t-r)\)'\pm\(P(t)x(t-\theta)-Q(t)x(t-\delta)\)=0 where $c>0$, $r>0$, $\theta>\delta\geq0$ are constants, and $P$, $Q\in C(\bb R^+\!,\bb R^+)$. We obtain some sufficient and some necessary conditions for the existence of bounded and unbounded positive solutions, as well as some sufficient conditions for the existence of bounded and unbounded oscillatory solutions.
DOI : 10.21136/MB.1999.125974
Classification : 34K11, 34K15, 34K40
Keywords: neutral differential equations; nonoscillation; oscillation; positive and negative coefficients 
@article{10_21136_MB_1999_125974,
     author = {Graef, John R. and Yang, Bo and Zhang, B. G.},
     title = {Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients},
     journal = {Mathematica Bohemica},
     pages = {87--102},
     publisher = {mathdoc},
     volume = {124},
     number = {1},
     year = {1999},
     doi = {10.21136/MB.1999.125974},
     mrnumber = {1687484},
     zbl = {0937.34066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125974/}
}
TY  - JOUR
AU  - Graef, John R.
AU  - Yang, Bo
AU  - Zhang, B. G.
TI  - Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients
JO  - Mathematica Bohemica
PY  - 1999
SP  - 87
EP  - 102
VL  - 124
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125974/
DO  - 10.21136/MB.1999.125974
LA  - en
ID  - 10_21136_MB_1999_125974
ER  - 
%0 Journal Article
%A Graef, John R.
%A Yang, Bo
%A Zhang, B. G.
%T Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients
%J Mathematica Bohemica
%D 1999
%P 87-102
%V 124
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125974/
%R 10.21136/MB.1999.125974
%G en
%F 10_21136_MB_1999_125974
Graef, John R.; Yang, Bo; Zhang, B. G. Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients. Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 87-102. doi : 10.21136/MB.1999.125974. http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125974/

Cité par Sources :