数学与计算机科学 |
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一类带阻尼项非线性分数阶微分方程的振动性 |
曾文君, 李德生 |
沈阳师范大学 数学与系统科学学院,辽宁 沈阳 110034 |
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Oscillation of a class of nonlinear fractional differential equations with damping term |
ZENG Wenjun, LI Desheng |
School of Mathematics and Systems Science, Shenyang Normal University,Shenyang 110034, China |
1 杨甲山.具可变时滞的二阶非线性中立型泛函微分方程的振动性[J].浙江大学学报(理学版),2016,43(3):257-263.DOI:10.3785/j.issn.1008-9497.2016. 03.002 YANG J S.Oscillation of certain second-order nonlinear neutral functional differential equations with variable delay[J].Journal of Zhejiang University(Science Edition),2016,43(3):257-263.DOI:10.3785/j.issn.1008-9497.2016.03.002 2 杨甲山.二阶Emden-Fowler型非线性变时滞微分方程的振荡准则[J].浙江大学学报(理学版),2017,44(2):144-149. DOI:10.3785/j.issn.1008-9497. 2017. 02.004 YANG J S.Oscillation criteria of second-order Emden-Fowler nonlinear variable delay differential equations[J].Journal of Zhejiang University(Science Edition),2017,44(2):144-149.DOI:10.3785/j.issn.1008-9497.2017.02.004 3 张晓建.二阶Emden-Fowler型变时滞中立型微分方程的振荡性[J].浙江大学学报(理学版),2018,45(3):308-313. DOI:10.3785/j.issn.1008-9497. 2018. 03.007 ZHANG X J.Oscillation of second-order Emden-Fowler-type variable delay neutral differential equations[J].Journal of Zhejiang University(Science Edition),2018,45(3):308-313.DOI:10.3785/j.issn.1008-9497.2018.03.007 4 曾云辉,杨琦敏,罗李平.偶数阶半线性阻尼泛函微分方程解的振动准则[J].浙江大学学报(理学版),2014,41(3):261-267.DOI:10.3785/j.issn.1008-9497.2014.03.005 ZENG Y H,YANG Q M,LUO L P.Oscillatory criteria of even order half-linear functional differential equations with damping[J].Journal of Zhejiang University(Science Edition),2014,41(3):261-267.DOI:10.3785/j.issn.1008-9497.2014.03.005 5 ZHENG B,MENG F W.Interval criteria for oscillation of second-order nonlinear differential equations[J].Journal of Indonesian Mathematical Society,2006,12(2):155-162. 6 ZHAO X Q,MENG F W. Oscillation of second-order nonlinear ODE with damping[J].Applied Mathmatics and Computation,2006,182(2):1861-1871. DOI:10.1016/j.amc.2006.06.022 7 HUANG Y,MENG F W. Oscillation of second-order nonlinear ODE with damping[J].Applied Mathmatics and Computation,2008,199(2):644-652. DOI:10.1016/j.amc.2007.10.025 8 MENG F W,HUANG Y.Interval oscillation criteria for a forced second-order nonlinear differential equations with damping[J].Applied Mathmatics and Computation,2011,218(5):1857-1861. 9 ROGOVCHENKO S P,ROGOVCHENKO Y V.Oscillation theorems for differential equations with a nonlinear damping term[J].Mathmatical Analysis and Applications,2003,279(1):121-134.DOI:10.1016/S0022-247X(02)00623-6 10 CHEN D X. Oscillation criteria of fractional differential equations[J].Advances in Difference Equations,2012,2012(1):33. DOI:10.1186/1687-1847-2012-33 11 马晴霞,刘安平.带阻尼项的非线性分数阶微分方程的振动性[J].应用数学,2016,29(2):291-297. MA Q X,LIU A P.Oscillation criteria of nonlinear fractional differential equation with damping term[J].Mathematica Applicata,2016,29(2):291-297. 12 JUMARIE G. Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results[J].Computers and Mathematics with Applications,2006,51(9/10):1367-1376. |
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