کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843250 | 1470529 | 2009 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Averaging technique and nonlinear second order elliptic oscillation Averaging technique and nonlinear second order elliptic oscillation](/preview/png/843250.png)
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=1N=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≥2N≥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.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issues 5–6, 1–15 September 2009, Pages 1474–1484