Oscillation and asymptotics for damped fractional difference equations

doi:10.3969/j.issn.1000-5641.2017.04.003

Abstract

CLC Number:

O175.1

LU Wei. Oscillation and asymptotics for damped fractional difference equations[J]. Journal of East China Normal University(Natural Sc, 2017, (4): 34-40,51.

[1] ATICI F M, ELOE P W. Initial value problems in discrete fractional calculus[J]. Proc Amer Math Soc, 2009, 137: 981-989.
[2] GRACE S R, AGARWAL R P, WONG P J Y, et al. On the oscillation of fractional differential equations [J]. Fract Calc Appl Anal, 2012, 15: 222-231.
[3] CHEN D X. Oscillation criteria of fractional differential equations [J]. Advances in Difference Equations, 2012, 33: 1-10.
[4] PODLUBNY I. Fractional differential equations [M]. San Diego: Academic Press, 1999.
[5] HAN Z, ZHAO Y, SUN Y, et al. Oscillation for a class of fractional differential equation [J]. Discrete Dyn Nat Soc, 2013, 2013: 1-6.
[6] 程金发, 分数阶差分方程理论[M]. 厦门: 厦门大学出版社, 2010.
[7] LU W, GE W, ZHAO Z. Oscillatory criteria for third-order nonlinear difference equation with impulses [J]. Journal of Computational and Applied Mathematics 2010, 234(12): 3366-3372.
[8] 芦伟, 葛渭高. 时标上二阶脉冲阻尼动力方程解的振动性和渐近性[J]. 生物数学学报, 2013, 28(2)：343-349.
[9] 时宝, 张德存, 盖久明．微分方程理论及其应用[M]. 北京: 国防工业出版社, 2005.
[10] 杨甲山, 黄劲. 时间模上一类二阶非线性动态方程振荡性的新准则[J]. 华东师范大学学报(自然科学版), 2015(3): 9-15.
[11] 张晓建, 杨甲山. 时标上三阶时滞动力方程的振动性和渐近性[J]. 华东师范大学学报(自然科学版), 2014(3): 51-59.
[12] 马晴霞, 刘安平. Oscillation criteria of nonlinear fractional differential equations with damping term [J]. 应用数学, 2016, 29(2): 291-297.
[13] 孙一冰, 韩振来, 孙书荣, 等. 时间尺度上一类二阶具阻尼项的半线性中立型时滞动力方程的振动性[J]. 应用数学学报, 2013, 36(3): 480-494.
[14] ZHENG B. Oscillation for a class of nonlinear fractional differential equations with damping term[J]. J Adv Math Stud, 2013, 6: 107-115.
[15] LI W N. Oscillation results for certain forced fractional difference equations with damping term [J]. Advances in Difference Equations, 2016, 70: 1-9.

Oscillation and asymptotics for damped fractional difference equations

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