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二阶非线性差分方程的渐近性

Asymptotic Behavior for Second-Order Nonlinear Difference Equations
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摘要 研究了具有负中立型项的二阶自共轭非线性差分方程的渐近性.利用广义的离散Riccati变换和函数序列的构造,给出了3种情形下差分方程非振动解的渐近性. The asymptotic behaviors for second-order nonlinear difference equation with negative neutral term were discussed by using the generous discrete Riccati transformation and the construction of sequence of functions, so did the nonoscilational solutions of the equation in three conditions.
出处 《天津师范大学学报(自然科学版)》 CAS 2006年第3期42-44,共3页 Journal of Tianjin Normal University:Natural Science Edition
基金 天津工程师范学院科研项目(Z2004021)
关键词 非线性差分方程 负中立型项 非振动 nonlinear difference equation negative neutral term nonoscilation
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  • 1ZHANG Zhen-guo, CHEN J ian-feng, ZHANG Cai-shun. Oscillation of solutions for second-order nonlinear difference equations, with nonlinear neutral term [ J ]. Computers Math Applic, 2001,41:1 487-1 494.
  • 2ZHANG Zhen-guo,ZHANG Jin-lian. Oscillation criteria for second-order functional difference equations with"summation small"cofficient [J]. Computers Math Applic, 1999,38( 1 ) :25-31.
  • 3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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