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带有非线性阻尼项的二阶非线性差分方程的振动性 被引量:2

Oscillation of Second Order Nonlinear Difference Equations with Nonlinear Damping Term
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摘要 本文给出了二阶非线性阻尼差分方程△2xn+pnφ(xn,△xn)+qnf(xn+1)g(△xn)=0,n∈Z 一切解均为振动的若干新的充分条件. Some new sufficient conditions for all the solutions of the nonlinear damped the second order difference equations (1) to be oscillations are given.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2005年第4期721-726,共6页 数学研究与评论(英文版)
关键词 阻尼差分方程 振动性 充分条件. difference equation with damping oscillation sufficient conditions.
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参考文献6

  • 1GRACE S R, LALLI B S. Oscillatory behavior of nonlinear second order differential equations with deviating arguments [J]. Bull. Inst. Math. Acad. Sinica, 1986, 14(2): 187-196.
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同被引文献8

  • 1杨军,王春艳,关新平.一类具有非线性中立型的非线性变时滞差分方程的振动性(英文)[J].纯粹数学与应用数学,2005,21(4):300-304. 被引量:4
  • 2姜英秀,何延生.二阶非线性阻尼差分方程的振动性[J].延边大学学报(自然科学版),2007,33(2):83-85. 被引量:1
  • 3Zhang Z G, Bi P. Linear oscillation of second - order nonlinear difference equations with damped term[ J]. Comput Math Appl,2001,41:659 -667.
  • 4Medina R. The asymptotic behavior of the solution of a Volterra difference equation[ J]. Computers Math Appl, 1997,34( 1 ) : 19 - 26.
  • 5Li W T, Fan X L. Oscillation criteria for second - order nonlinear difference equations with damped term [ J ]. Computers Math Appl, 1999,37(6) :17 -30.
  • 6Tadas G, Philos Ch C, Sficas Y G. Necessary and sufficient conditions for the oscillation of difference equations[ J]. Tibertas Math,1989 ,9 :15 -21.
  • 7HOOKER J W, PATULA W T. A second order nonlinear difference equation: Oscillation and asymptotic behavior [J]. J Math Anal Appl, 1983,91:9 - 24.
  • 8张振国,俞元洪.一类非线性二阶差分方程解的振动性[J].Journal of Mathematical Research and Exposition,1999,19(4):699-703. 被引量:9

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