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Oscillation of Second Order Nonlinear Elliptic Differential Equations

Zhiting Xu
경북대학교 자연과학대학 수학과|2006.03|Kyungpook Mathematical Journal|제46권 제1호|pp. 65-77

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참고문헌

주제분류수학

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Abstract

By using general means, some oscillation criteria for second order nonlinearelliptic dierential equation with dampingN.i;j =1Di[aij (x)Dj y] +N.i=1bi(x)Diy + p(x)f(y) = 0are obtained. These criteria are of a high degree of generality and extend the oscillationtheorems for second order linear ordinary dierential equations due to Kamenev, Philosand Wong.

참고문헌 (11)

  1. "Elliptic Partial Dierential Equations of SecondOrder", and(s. trudier) (1983)
  2. "Math. Zamtki", 23 1978 (1978)
  3. "Oscillation of semilinear elliptic inequalities byRiccati transformation", 4, pp.908~923 (1980)
  4. "Oscillation theorems for linear dierential equations of second order", 53, pp.482~492 (1989)
  5. "Semilinear second order elliptic oscillation", 2, pp.139~157 (1979)
  6. "A criterion of oscillatory stability", 7, pp.115~117 (1949)
  7. "On Kamenev-type oscillation theorems for second-order dierentialequations with damping", 258, pp.244~257 (2001)
  8. "Oscillation of second order elliptic partial dierential equations with a "weakly integrally small" coecient", 4(18), pp.478~484 (1998)
  9. "Riccati techniques and oscillation ofsemilinear elliptic equations", 4(24), pp.329~340 (2003)
  10. "Oscillation theorems for elliptic equations of secondorder", 24(2), pp.144~151 (2004)
  11. "Oscillation criteria for nonlinear second order elliptic differential equations", 9(17), pp.89~101 (1996)

관련 논문AI추천

Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted AveragesYong Xia, Zhiting Xu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Oscillation and nonoscillation theorems for nonlinear differential equations of second order김낙중, 김동일대한수학회 · 대한수학회지2007 · 제44권 제6호Oscillatory 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 theorems of solutions for some differential equationsRakJoong Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Oscillation Criteria for Certain Nonlinear Differential Equations with DampingSiming Zhu, Zhaowen Zheng경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Oscillation Criteria for a Class of Parabolic Equations with Functional ArgumentsKusuo Kobayashi, Norio Yoshida, Yutaka Shoukaku경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호

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