期刊文献+

二阶时标非线性中立型动力学方程的振动性 被引量:5

Oscillation Criteria for Second Order Nonlinear Neutral Dynamic Equations on Time Scales
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摘要 运用广义Riccati变换给出时标上二阶非线性中立型动力学方程振动的充分条件,进一步研究了具扰动项的动力学方程解的性态.所得结论推广和改进了已知文献的部分结果. A sufficient condition on the oscillation of the second order nonlinear neutral dynamic equations is given bying generalized Riccati transformation and using analytic method and technique, and a property of a certain perturbed nonlinear dynamic equation is considered. The some known results in the literature are improved and generalized.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第18期253-256,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金(10661011) 河北省科学技术研究与发展计划资助项目(07276759)
关键词 动力学方程 振动性 时标 RICCATI变换 dynamic equation oscillation time scales Riccati transformation
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参考文献4

  • 1AKM E, ERBE L, KAYMAKCALAN B, PETERSON A. Oscillations results for dynamic equation on a time scale[J]. Differ Equa Appl,2001,7:793-810.
  • 2Bohner M, Peterson A. Dynamic Equations on Time Scales[M], Boston: Birkhauser,2001.
  • 3师向云,崔学英.时间模上二阶非线性动力方程的振动性[J].山西大学学报(自然科学版),2003,26(4):294-297. 被引量:4
  • 4SAKER S H. Oscillation of nonlinear dynamic equations on time scales [J]. Applield Mathematics and Computation, 2004, (148):81-91.

二级参考文献6

  • 1AGARWAL R P,BOHNER M,O'REGAN D,PETERSON A. Dynamic equations on time scales:A surver[J], J Comp Appl Math, 2002,141(1-2) : 1-26.
  • 2DOSLYO,HILGER S. A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales[J]. J Comp Appl Math,2002,141(1-2):147-158.
  • 3ERBE LYNN, PETERSON ALLAN, R EHAK PAYEL. Comparison theorems for linear dynamic equations on time scales[J]. J Math Anal Appl,2002,275:418-438.
  • 4ERBE LYNN ,PETERSON ALLAN. Oscillation criteria for second-order matrix dynamic equations on time scales[J]. J Comp Appl Math ,2002,141 (1-2) : 169-185.
  • 5ONOSE HIROSHZ. On oscillations of nonlinear second-order equations [J]. J Math Anal Appl, 1972,39: 122-124.
  • 6GRAEF JOHN R ,RANKIN SAMUEL M ,SPRKES PAUL W. Oscillation theorems for perturbed nonlinear differential equations[J].J Math Anal Appl ,1978,65 : 375- 390.

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