Fite and Kamenev type oscillation criteria for second order elliptic equations
Tom 92 / 2007
Annales Polonici Mathematici 92 (2007), 199-214
MSC: 35B05, 35J60, 34C10.
DOI: 10.4064/ap92-3-1
Streszczenie
Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation $$ \sum_{i,j=1}^N D_i[a_{ij}(x)D_j y] + \sum_{i=1}^Nb_i(x)D_iy+p(x)f(y)=0 $$ 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.