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Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted Averages

Zhiting Xu|Yong Xia
경북대학교 자연과학대학 수학과|2007.06|Kyungpook Mathematical Journal|제47권 제2호|pp. 191-202

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Abstract

By using the weighted averaging techniques, we establish oscillation criteriafor the second order damped quasilinear elliptic dierential equationN.i,j =1Di(aij (x).Dy.p2Dj y) + .b(x),.Dy.p2Dy .+ c(x)f(y) = 0 , p > 1.The obtained theorems include and improve some existing ones for the undamped halflinear partial differential equation and the semilinear elliptic equation.

참고문헌 (15)

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  15. "Averaging techniques and oscillation of quasilinear elliptic equations", 84(1), pp.45~54 (2004)

관련 논문AI추천

Oscillation of Second Order Nonlinear Elliptic Differential EquationsZhiting Xu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호Oscillation Criteria for Certain Nonlinear Differential Equations with DampingSiming Zhu, Zhaowen Zheng경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati MethodYutaka Shoukaku경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호Oscillatory and asymptotic behavior of second order nonlinear differential equations with dampingE. Tunc, O. Ozdemir장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제4호Oscillation Criteria for a Class of Parabolic Equations with Functional ArgumentsKusuo Kobayashi, Norio Yoshida, Yutaka Shoukaku경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호On positive solutions for a class of Indefinite weight semilinear elliptic boundary value problems with critical Sobolev exponent강승필, 고봉수대한수학회 · 대한수학회지2007 · 제44권 제2호

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