Geodesic
Fite and Kamenev type oscillation criteria for second order elliptic equations
Zhiting Xu1
1 School of Mathematical Sciences South China Normal University Guangzhou, 510090, P.R. China
Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 199-214 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap92-3-1
Keywords: fite kamenev type oscillation criteria second order nonlinear damped elliptic differential equation sum a y sum y obtained results extensions those ordinary differential equations improve known oscillation criteria literature several examples given significance results

Zhiting Xu 1

1 School of Mathematical Sciences South China Normal University Guangzhou, 510090, P.R. China 
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Zhiting Xu. Fite and Kamenev type oscillation criteria for
 second order elliptic equations. Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 199-214. doi: 10.4064/ap92-3-1

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