Abstract
We establish new Kamenev-type oscillation criteria for the half-linear partial differential equation with damping
under quite general conditions. These results are extensions of the recent results developed by Sun [Y.G. 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.
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Supported by the National Natural Science Foundation of Guangdong Province under Grant (No. 8451063101000730).
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Yang, Gf., Xu, Zt. New Kamenev-type oscillation criteria for half-linear partial differential equations. Acta Math. Appl. Sin. Engl. Ser. 28, 535–548 (2012). https://doi.org/10.1007/s10255-012-0168-0
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DOI: https://doi.org/10.1007/s10255-012-0168-0