Geodesic
Conditional oscillation of half-linear differential equations with periodic coefficients
Archivum mathematicum, Tome 44 (2008) no. 2, pp. 119-131

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

We show that the half-linear differential equation \[ \big [r(t)\Phi (x^{\prime })\big ]^{\prime } + \frac{s(t)}{t^p} \Phi (x) = 0 \ast \] with $\alpha $-periodic positive functions $r, s$ is conditionally oscillatory, i.e., there exists a constant $K>0$ such that () with $\frac{\gamma s(t)}{t^p}$ instead of $\frac{s(t)}{t^p}$ is oscillatory for $\gamma > K$ and nonoscillatory for $\gamma K$.
Classification : 34C10
Keywords: oscillation theory; conditional oscillation; half-linear differential equations 
@article{ARM_2008__44_2_a4,
     author = {Hasil, Petr},
     title = {Conditional oscillation of half-linear differential equations with periodic coefficients},
     journal = {Archivum mathematicum},
     pages = {119--131},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2008},
     mrnumber = {2432849},
     zbl = {1212.34110},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_2_a4/}
}
TY  - JOUR
AU  - Hasil, Petr
TI  - Conditional oscillation of half-linear differential equations with periodic coefficients
JO  - Archivum mathematicum
PY  - 2008
SP  - 119
EP  - 131
VL  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2008__44_2_a4/
LA  - en
ID  - ARM_2008__44_2_a4
ER  - 
%0 Journal Article
%A Hasil, Petr
%T Conditional oscillation of half-linear differential equations with periodic coefficients
%J Archivum mathematicum
%D 2008
%P 119-131
%V 44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2008__44_2_a4/
%G en
%F ARM_2008__44_2_a4
Hasil, Petr. Conditional oscillation of half-linear differential equations with periodic coefficients. Archivum mathematicum, Tome 44 (2008) no. 2, pp. 119-131. http://geodesic.mathdoc.fr/item/ARM_2008__44_2_a4/