Fite and Kamenev type oscillation criteria for second order elliptic equations

Zhiting Xu. "Fite and Kamenev type oscillation criteria for second order elliptic equations." Annales Polonici Mathematici 92.3 (2007): 199-214. <http://eudml.org/doc/280432>.

@article{ZhitingXu2007,
abstract = {Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation $∑_\{i,j=1\}^N D_i[a_\{ij\}(x)D_j y] + ∑_\{i=1\}^Nb_i(x)D_iy + p(x)f(y) = 0$ are obtained. Our results are extensions of those for ordinary differential equations and improve some known oscillation criteria in the literature. Several examples are given to show the significance of the results.},
author = {Zhiting Xu},
journal = {Annales Polonici Mathematici},
keywords = {oscillation; second order; nonlinear damped elliptic differential equation; Fite; Kamenev type oscillation criteria},
language = {eng},
number = {3},
pages = {199-214},
title = {Fite and Kamenev type oscillation criteria for second order elliptic equations},
url = {http://eudml.org/doc/280432},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Zhiting Xu
TI - Fite and Kamenev type oscillation criteria for second order elliptic equations
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 3
SP - 199
EP - 214
AB - Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation $∑_{i,j=1}^N D_i[a_{ij}(x)D_j y] + ∑_{i=1}^Nb_i(x)D_iy + p(x)f(y) = 0$ are obtained. Our results are extensions of those for ordinary differential equations and improve some known oscillation criteria in the literature. Several examples are given to show the significance of the results.
LA - eng
KW - oscillation; second order; nonlinear damped elliptic differential equation; Fite; Kamenev type oscillation criteria
UR - http://eudml.org/doc/280432
ER -