Geodesic
On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 817-833.

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

We study oscillatory properties of solutions of the Emden-Fowler type differential equation $$u^{(n)}(t)+p(t)\big |u(\sigma (t))\big |^\lambda \operatorname{sign} u(\sigma (t))=0,$$ where $0\lambda 1$, $p\in L_{\rm loc }(\Bbb R_+;\Bbb R)$, $\sigma \in C(\Bbb R_+;\Bbb R_+)$ and $\sigma (t)\ge t$ for $t\in \Bbb R_+$. \endgraf Sufficient (necessary and sufficient) conditions of new type for oscillation of solutions of the above equation are established. \endgraf Some results given in this paper generalize the results obtained in the paper by Kiguradze and Stavroulakis (1998).
Classification : 34C10, 34K11, 34K15
Keywords: proper solution; property {\bf A}; property {\bf B} 
@article{CMJ_2010__60_3_a14,
     author = {Koplatadze, R.},
     title = {On asymptotic behavior of solutions of $n$-th order {Emden-Fowler} differential equations with advanced argument},
     journal = {Czechoslovak Mathematical Journal},
     pages = {817--833},
     publisher = {mathdoc},
     volume = {60},
     number = {3},
     year = {2010},
     mrnumber = {2672417},
     zbl = {1224.34214},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_3_a14/}
}
TY  - JOUR
AU  - Koplatadze, R.
TI  - On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument
JO  - Czechoslovak Mathematical Journal
PY  - 2010
SP  - 817
EP  - 833
VL  - 60
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2010__60_3_a14/
LA  - en
ID  - CMJ_2010__60_3_a14
ER  - 
%0 Journal Article
%A Koplatadze, R.
%T On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument
%J Czechoslovak Mathematical Journal
%D 2010
%P 817-833
%V 60
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2010__60_3_a14/
%G en
%F CMJ_2010__60_3_a14
Koplatadze, R. On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 817-833. http://geodesic.mathdoc.fr/item/CMJ_2010__60_3_a14/