数学与计算机科学 |
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具正负系数和多变时滞的高阶微分方程的振动性 |
覃桂茳1,2, 刘玉周2,3, 杨甲山1,4 |
1.梧州学院 大数据与软件工程学院,广西 梧州 543002 2.梧州学院 广西高校行业软件技术重点实验室,广西 梧州 543002 3.梧州学院 机械与材料工程学院,广西 梧州 543002 4.梧州学院 广西高校图像处理与智能信息系统重点实验室,广西 梧州 543002 |
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Oscillation of higher order differential equations with positive and negative coefficients and multiple variable delays |
QIN Guijiang1,2, LIU Yuzhou2,3, YANG Jiashan1,4 |
1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002,Guangxi Zhuang Autonomous Region,China 2.Guangxi Colleges and Universities Key Laboratory of Professional Software Technology, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region,China 3.School of Mechanical and Material Engineering, Wuzhou University, Wuzhou 543002,Guangxi Zhuang Autonomous Region,China 4.Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region,China |
1 KAMENEVI V. An integral criterion for oscillation of linear differential equations of second order[J]. Matematicheskie Zametki, 1978, 23(2): 249-251.DOI:10.1007/BF01153154 2 LIH J, YEH C C. An integral criterion for oscillation of nonlinear differential equations[J]. Mathematica Japonicae, 1995, 41: 185-188. 3 黄记洲,符策红. 广义Emden-Fowler方程的振动性[J]. 应用数学学报, 2015, 38(6): 1126-1135. HUANGJ Z, FUC H. Oscillation criteria of generalized Emden-Fowler equations[J]. Acta Mathematicae Applicatae Sinica, 2015, 38(6): 1126-1135. 4 仉志余,王晓霞,林诗仲,等.非线性二阶中立型时滞微分方程的振动和非振动准则[J]. 系统科学与数学, 2006, 26(3): 325-334.DOI:10.3969/j.issn.1000-0577.2006.03.008 ZHANGZ Y, WANGX X, LINS Z, et al. Oscillation and no oscillation criteria for second order nonlinear neutral delay differential equations[J]. Journal of Systems Science and Mathematical Sciences, 2006, 26(3): 325-334.DOI:10.3969/j.issn.1000-0577.2006.03.008 5 杨甲山,张晓建.具正负系数的二阶阻尼微分方程的振动性[J]. 高校应用数学学报(A辑), 2011, 26(4): 399-406. DOI:10.3969/j.issn.1000-4424.2011.04.003 YANGJ S, ZHANGX J. Oscillation of second order damped differential equation with positive and negative coefficients[J]. Applied Mathematics A Journal of Chinese Universities, 2011, 26(4): 399-406. DOI:10.3969/j.issn.1000-4424.2011.04.003 6 杨甲山,方彬.一类二阶中立型微分方程的振动性[J]. 数学的实践与认识, 2013, 43(23): 193-197. YANGJ S, FANGB. Oscillation of a class of second order neutral differential equations[J]. Mathematics in Practice and Theory, 2013, 43(23): 193-197. 7 杨甲山,覃学文.具阻尼项的高阶Emden-Fowler型泛函微分方程的振荡性[J].中山大学学报(自然科学版), 2015, 54(4): 63-68.DOI:10.13471/j.cnki.acta.snus.2015.04.011 YANGJ S, QINX W. Oscillation of higher order Emden-Fowler functional differential equations with damping[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2015, 54(4): 63-68.DOI:10.13471/j.cnki.acta.snus.2015.04.011 8 杨甲山,覃桂茳.一类二阶微分方程新的Kamenev型振动准则[J].浙江大学学报(理学版), 2017, 44(3): 274-280.DOI:10.3785/j.issn.1008-9497.2017.03.005 YANGJ S, QING J. Kamenev-type oscillation criteria for certain second-order differential equations[J]. Journal of Zhejiang University( Science Edition), 2017, 44(3): 274-280. DOI:10.3785/j.issn.1008-9497.2017.03.005 9 YANGJ S, WANGJ J, QINX W, et al. Oscillation of nonlinear second-order neutral delay differential equations[J]. Journal of Nonlinear Sciences and Applications, 2017, 10(5): 2727-2734. 10 罗红英,屈英,俞元洪.具有正负系数的二阶中立型时滞Emden-Fowler方程的振动准则[J]. 应用数学学报, 2017, 40(5): 667-675. LUOH Y, QUY, YUY H. Oscillation criteria of second order neutral delay Emden-Fowler equations with positive and negative coefficients[J]. Acta Mathematicae Applicatae Sinica, 2017, 40(5): 667-675. 11 张全信,俞元洪.偶阶半线性阻尼泛函微分方程的振动性[J]. 应用数学学报, 2010, 33(4): 601-610. DOI:10.1016/j.camwa.2010.09.011 ZHANGQ X, YUY H. Oscillation of even order half-linear functional differential equations with damping[J]. Acta Mathematicae Applicatae Sinica, 2010, 33(4): 601-610.DOI:10.1016/j.camwa.2010.09.011 12 张晓建.具非线性中立项的广义Emden-Fowler微分方程的振动性[J].数学物理学报, 2018, 38(4): 728-739. ZHANGX J. Oscillation of generalized Emden-Fowler differential equations with nonlinear neutral term[J]. Acta Mathematica Scientia(Ser A), 2018, 38(4): 728-739. 13 杨甲山.一类具有非线性中立项的二阶微分方程振动性[J].东北师大学报(自然科学版), 2017, 49(3): 13-17.DOI:10.16163/j.cnki.22-1123/n.2017.03.004 YANGJ S. Oscillation of certain second-order differential equations with nonlinear neutral term[J]. Journal of Northeast Normal University( Natural Science Edition), 2017, 49(3): 13-17. DOI:10.16163/j.cnki.22-1123/n.2017.03.004 14 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): 144-149,160.DOI:10.3785/j.issn.1008-9497.2017.02.004 YANGJ S. Oscillation criteria of second-order Emden-Fowler nonlinear variable delay differential equations[J]. Journal of Zhejiang University( Science Edition), 2017, 44(2): 144-149,160. DOI:10.3785/j.issn.1008-9497.2017.02.004 |
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