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New Kamenev-type Oscillation Criteria for Half-linear Partial Differential Equations
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作者 ge-feng yang Zhi-ting XU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第3期535-548,共14页
We establish new Kamenev-type oscillation criteria for the half-linear partial differential equation with damping div(A(x)|| u||^p-2 u)+〈b(x),|| u||^p-2 u〉+c(x)|u|^p-2u=0(E)under quite general ... We establish new Kamenev-type oscillation criteria for the half-linear partial differential equation with damping div(A(x)|| u||^p-2 u)+〈b(x),|| u||^p-2 u〉+c(x)|u|^p-2u=0(E)under quite general conditions. These results are extensions of the recent results developed by Sun [Y.C. Sun, New Kamenev-type oscillation criteria of second order nonlinear differential equations with damping, J. Math. Anal. Appl. 291 (2004) 341-351] for second order ordinary differential equations in a natural way, and improve some existing results in the literature. As applications, we illustrate our main results using two different types of half-linear partial differential equations. 展开更多
关键词 OSCILLATION HALF-LINEAR partial differential equations Kamenev-type Damped equation
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