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- W2071728031 abstract "Abstract By using the refinement of the standard integral averaging technique, we obtain new oscillation criteria for certain nonlinear second order damped elliptic differential equations. We do not impose any additional conditions on the damping terms except for the continuity. In particular, when N = 1 , our results extend those of Rogovchenko and Tuncay [Yu.V. Rogovchenko, F. Tuncay, Oscillation criteria for second-order nonlinear differential equations with damping, Nonlinear Analysis 69 (2008) 208–221] for second-order nonlinear differential equations with damping to damped elliptic differential equations. When N ≥ 2 , our results improve the oscillation criteria of Xu, Jia, Ma [Z. Xu, B. Jia, D. Ma, Oscillation theorems for elliptic equations with damping, Appl. Math. Comput, 156 (2004) 93–106] for second order elliptic equations with damping. Four examples are provided to illustrate the relevance of the main results." @default.
- W2071728031 created "2016-06-24" @default.
- W2071728031 creator A5059657389 @default.
- W2071728031 date "2009-09-01" @default.
- W2071728031 modified "2023-10-01" @default.
- W2071728031 title "Averaging technique and nonlinear second order elliptic oscillation" @default.
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- W2071728031 doi "https://doi.org/10.1016/j.na.2008.12.033" @default.
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