期刊文献+

一类二阶非线性阻尼微分方程的区间振动准则(英文)

Interval oscillation criteria for nonlinear second order damped differential equation
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摘要 基于一系列子区间而不是整个半直线的信息,给出了一类二阶非线性阻尼微分方程的几个新的区间振动准则,所得定理推广和改进了文献和新近研究中的一些结果. Several new interval oscillation criteria for certain classes of second order nonlinear damped differential equations are presented,which are based on the information only on a sequence of subintervals of ,rather than on the whole half-line.Our results are sharper than those known in the literature and deal with the cases which are not covered by the known criteria.
出处 《西北师范大学学报(自然科学版)》 CAS 北大核心 2011年第1期17-22,33,共7页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10971221)
关键词 阻尼微分方程 区间准则 振动 damped differenxial equation interval criteria oscillation
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参考文献8

  • 1EL-SAYED M A. An oscillation criterion for a forced second order linear differential equations [J]. ProcAmerMath Soc, 1993, 118: 813-817. 被引量:1
  • 2GRACE S R, I.ALI.I B S. Integral averaging technique for the oscillation of second order nonlinear differential equations[J]. J Math Anal Appl, 1990, 149: 277-311. 被引量:1
  • 3GRACE S R. Oscillation theorems for nonlinear differential equations of second order [J]. J Math Anal Appl, 1992, 171: 220-241. 被引量:1
  • 4LI Wan-tong. Oscillation of certain second-order nonlinear differential equation [J].J Math Anal Appl, 1998, 217: 1-14. 被引量:1
  • 5LI Wan-tong, AGARWAL R P. Interval oscillation criteria for second order nonlinear differential equations with damping [J ]. Comp Math Appl, 2000, 40; 217-230. 被引量:1
  • 6IA Wan-tong, AGARWAL R P. Interval oscillation criteria related to intergral averaging technique for certain nonlinear differential equations [J]. J Math Anal Appl, 2000, 245: 171-188. 被引量:1
  • 7I.I Wan-tong. Interval oscillation criteria for second order nonlinear differential equations with damping [J].Taiwan Residents Jounal of Mathmatics, 2003, 7: 461-475. 被引量:1
  • 8LI Wan-tong, AGARWAL R P. Interval criteria for second-order nonlinear perturbed differential equations[J].CompuMath Appl, 2004, 47: 751- 765. 被引量:1

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