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时间模上二阶非线性动力学方程的振动性 被引量：2

Oscillation criteria for second order nonlinear dynamic equations on time scales
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摘要 运用广义指数和广义黎卡提变换给出时间模上二阶非线性动力学方程[r(t)xΔ(t) ]Δ+q(t)f(xσ(t) )=0振动的一个充分性条件 进一步考虑其带扰动项方程[r(t)xΔ(t) ]Δ+q(t)f(xσ(t) )=c(t) A sufficient condition on the oscillation of the second-order nonlinear dynamic equations on time scales[p(t)x~Δ(t)]~Δ+q(t)f(x~σ(t))=0 is given by using general exponential function and general Riccati variation and some property of the equation[r(t)x~Δ(t)]~Δ+q(t)f(x~σ(t))=c(t)is considered.
作者 师向云 周学勇
机构地区 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 北大核心 2005年第2期133-135,共3页 Journal of Xinyang Normal University(Natural Science Edition)
关键词 振动性 时间模 动力学方程 oscillation time scales dynamic equation
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献4

  • 1AKM E,ERBE L,KAYMAKCALAN B,PETERSON A.Oscillation results for dynamic equation on a time scale[J].J Differ Equa Appl,2001,7:793-810.
  • 2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
  • 3SAKER S H.Oscillation of nonlinear dyamic equations on time scales[J].Applied Mathematics and Computation,2004,148(1):81-91.
  • 4AGARWAL R P,BOHNER M,O'REGAN D,PETERSON A.Dynamic equations on time scales:a survey[J].Comp Appl math,2002,141(1-2):147-158.

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.

共引文献3

同被引文献18

  • 1DOSLYO,HILGER S.A Necessary and Sufficient Condition for Oscillation of the Sturm-Liouville Dynamic Equation on Time Scales[J].J Comp Appl Math(S 0377-0427),2001,141:147-158.
  • 2ERBE L.Oscillation Criteria for Second Order Linear Equations on a Time Scale[J].Canadian Appled Mathematics Quarterly(S 1073-1849),2001,9:1-31.
  • 3SAKER S H.Oscillation of Nonlinear Dynamic Equations on Time Scales[J].Applied Mathematics and Computation(S 0096-3003),2004,148:81-91.
  • 4ZAFER A,KAYMAKCALAN B,OZGUN SA.Asymptotic Behavior of Higher-Order Non-linear Equations on Time Scales[J].Comp Math Appl(S 0898-1221),1998,36:299-306.
  • 5ONOSE H.On Oscillations for Solution of n-th Order Differential Equations[J].Proc Amer Math Soc(S 1088-6826),1972,33:495-500.
  • 6LI Z H.A Note on the Oscillatory Property for Nonlinear Difference and Differential Equational Equations[J].J Math Anal Appl(S 0022-247X),1984,103:344-352.
  • 7AGAREAL R,BOHNER M,O'REGAN D,PETERSON A.Dynamic Equations on Time Scales:A Survey[J].J Comp Appl Math(S 0377-0427),2002,141:147-158.
  • 8CHENG S S,PATULA W T.An existence theorem for a nonlinear difference equation[J].Nonlinear Anal(S 0362-546X),1993,20:193-203.
  • 9AGARWAL R,BOHNER M,REHAK P.Half linear dynamic equations:a survey,nonlinear analysis and applications[M].Dorechet:Kluwer Academic Publishes,2003.
  • 10YANG Xiao -jing. Oscillation criteria for nonlinear differential equation with damping[ J]. Appl Math Comp, 2003, 136:549 -557.

引证文献2

信阳师范学院学报（自然科学版）
2005年 第2期

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