Fite and Kamenev type oscillation criteria for second order elliptic equations

Zhiting Xu

Zhiting Xu

Annales Polonici Mathematici, Tome 92 (2007), p. 199-214 / Harvested from The Polish Digital Mathematics Library

Résumé

Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation $\sum_{i, j = 1}^{N} D_{i} [a_{i j} (x) D_{j} y] + \sum_{i = 1}^{N} b_{i} (x) D_{i} y + p (x) f (y) = 0$ 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.

Publié le : 2007-01-01

Zbl 1129.35034

EUDML-ID : urn:eudml:doc:280432

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     author = {Zhiting Xu},
     title = {Fite and Kamenev type oscillation criteria for second order elliptic equations},
     journal = {Annales Polonici Mathematici},
     volume = {92},
     year = {2007},
     pages = {199-214},
     zbl = {1129.35034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-3-1}
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Zhiting Xu. Fite and Kamenev type oscillation criteria for second order elliptic equations. Annales Polonici Mathematici, Tome 92 (2007) pp. 199-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-3-1/