Fite and Kamenev type oscillation criteria for second order elliptic equations

• Autorzy: Zhiting Xu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 35J60: Nonlinear elliptic equations
• 35B05: Oscillation, zeros of solutions, mean value theorems, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 3
• Strony: 199-214

Daty

wydano

2007

Twórcy

autor

Zhiting Xu

• School of Mathematical Sciences, South China Normal University, Guangzhou, 510090, P.R. China

Identyfikatory

DOI

10.4064/ap92-3-1