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Oscillation Criteria for Certain Nonlinear Differential Equations with Damping

Zhaowen Zheng|Siming Zhu
경북대학교 자연과학대학 수학과|2006.06|Kyungpook Mathematical Journal|제46권 제2호|pp. 219-229

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Abstract

Using the integral average method, we establish some oscillation criteria for the nonlinear differential equation with damped term ကa(t)jx0(t)j¾¡1x0(t)0 + p(t)jx0(t)j¾¡1x0(t) + q(t)f(x(t)) = 0; ¾ > 1; where the functions a; p and q are real-valued continuous functions defined on [t0;1) with a(t) > 0, f(x) 2 C1(R) and f0(u) jf(¾¡1)=¾(u)j ¸ k > 0 for u 6= 0.

참고문헌 (13)

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  4. "The oscillation of half-linear differential equations with an oscillatory coefficient", 24, pp.77~86 (1996)
  5. "On Kamenev-type oscillation theorems for second-order differential equations with damping", 258, pp.244~257 (2001)
  6. "Oscillation criteria for second-order nonlinear differential equations involving general means", 247, pp.489~505 (2000)
  7. "On the oscillation of certain second order differential equations", 7, pp.201~213 (2002)
  8. "Integral criterion for oscillation of linear differential equations of second order", 23, pp.249~251 (1978)
  9. "Oscillation theorems of second order linear differential equations with damping", 98, pp.276~282 (1986)
  10. "Oscillation criteria for nonlinear second-order damped differential equations", 15, pp.166~173 (1992)
  11. "Oscillatory behavior of solutions of certain second order nonlinear differential equations", 198, pp.337~354 (1996)
  12. "Oscillation theorems for linear differential equations of second order", basel, pp.482~492 (1989)
  13. "On the oscillation of certain second order nonlinear differential eqautions", 281, pp.565~574 (2003)

관련 논문AI추천

Oscillatory 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 and nonoscillation theorems for nonlinear differential equations of second order김낙중, 김동일대한수학회 · 대한수학회지2007 · 제44권 제6호Oscillation theorems of solutions for some differential equationsRakJoong Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호On the oscillation of certain functional differential equationsRavi P. Agarwal, S. Dontha, S. R. Grace대한수학회 · 대한수학회논문집2004 · 제19권 제2호Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative CoefficientsElmetwally M. Elabbasy, Samir H. Saker, Taher S. Hassan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호Oscillation Criteria of Second-order Half-linear Delay Difference EquationsS. H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호

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