On a class of fourth-order nonlinear difference equations

被引：0
|
作者：
Migda M.
Musielak A.
Schmeidel E.
机构：
[1] Poznań University of Technology,Institute of Mathematics
来源：
Advances in Difference Equations | / 2004卷 / 1期
关键词：
D O I：
10.1155/S1687183904308083
中图分类号：
学科分类号：
摘要：
We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+ - and F--solutions. Relations between these types of solutions and their nonoscillatory behavior are obtained. Necessary and sufficient conditions are obtained for the difference equation to admit the existence of nonoscillatory solutions with special asymptotic properties.
引用
收藏
页码：23 / 36
页数：13
相关论文
共 50 条
  • [1] Oscillation of a class of the fourth-order nonlinear difference equations
    Dosla, Zuzana
    Krejcova, Jana
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [2] Oscillation of a class of the fourth-order nonlinear difference equations
    Zuzana Došlá
    Jana Krejčová
    [J]. Advances in Difference Equations, 2012
  • [3] Dynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations
    Dongsheng Li
    Pingping Li
    Xianyi Li
    [J]. Advances in Difference Equations, 2008
  • [4] Dynamical properties for a class of fourth-order nonlinear difference equations
    Li, Dongsheng
    Li, Pingping
    Li, Xianyi
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)
  • [5] Fourth-order nonlinear oscillations of difference equations
    Thandapani, E
    Arockiasamy, IM
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) : 357 - 368
  • [6] Homoclinic solutions for a class of fourth-order difference equations
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (10) : 2617 - 2625
  • [7] ON OSCILLATORY NONLINEAR FOURTH-ORDER DIFFERENCE EQUATIONS WITH DELAYS
    Tripathy, Arun K.
    [J]. MATHEMATICA BOHEMICA, 2018, 143 (01): : 25 - 40
  • [8] Asymptotic properties of fourth-order nonlinear difference equations
    Migda, M
    Schmeidel, E
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2004, 39 (11-12) : 1203 - 1211
  • [9] Periodic solutions for fourth-order nonlinear functional difference equations
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    Deng, Xiaoqing
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (01) : 1 - 10
  • [10] Existence of positive solution for nonlinear fourth-order difference equations
    Ma, Ruyun
    Xu, Youji
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (12) : 3770 - 3777
12345