数学与计算机科学 |
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具非正中立项的二阶非自治延迟动态系统的动力学性质研究 |
李继猛1, 杨甲山2 |
1.邵阳学院 理学院, 湖南邵阳 422004 2.梧州学院 大数据与软件工程学院, 广西梧州 543002 |
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Study on the dynamical properties of second-order nonautonomous delay dynamic equations with nonpositive neutral coefficients |
LI Jimeng1, YANG Jiashan2 |
1.School of Science, Shaoyang University, Shaoyang 422004, Hunan Province, China 2.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China |
1 AGARWAL R P, BOHNER M, LI W T .Nonoscillation and Oscillation: Theory for Functional Differential Equations[M]. New York: Marcel Dekker,2004. 2 张全信,高丽,刘守华 .时间尺度上具阻尼项的二阶半线性时滞动力方程振动性的新结果[J].中国科学(数学), 2013, 43(8): 793-806.DOI:10.3969/j.issn.1672-7010.2013.01.002 ZHANG Q X, GAO L, LIU S H . Oscillation criteria for second-order half-linear delay dynamic equations with damping on time scales[J]. Scientia Sinica(Mathematica) , 2013, 43(8):793-806.DOI:10.3969/j.issn.1672-7010.2013.01.002 3 杨甲山, 李同兴 . 时间模上一类二阶阻尼Emden-Fowler型动态方程的振荡性[J]. 数学物理学报(A辑), 2018,38(1): 134-155.DOI:10.3969/j.issn.1003-3998.2018.01.013 YANG J S, LI T X . Oscillation for a class of second-order damped Emden-Fowler dynamic equations on time scales[J]. Acta Mathematica Scientia(Ser A), 2018, 38(1):134-155.DOI:10.3969/j.issn.1003-3998.2018.01.013 4 杨甲山 .时间尺度上二阶Emden-Fowler型延迟动态方程的振动性[J]. 振动与冲击, 2018, 37(16): 154-161. DOI:10.13465/j.cnki.jvs.2018.16.023 YANG J S . Oscillation for a class of second-order Emden-Fowler-type delay dynamic equations on time scales[J]. Journal of Vibration and Shock, 2018, 37(16): 154-161. DOI:10.13465/j.cnki.jvs.2018.16.023 5 杨甲山 .时间模上一类二阶非线性延迟动力系统的振动性分析[J].应用数学学报, 2018,41(3): 388-402. YANG J S . Oscillation analysis of second-order nonlinear delay dynamic equations on time scales[J]. Acta Mathematicae Applicatae Sinica, 2018, 41(3): 388-402. 6 覃桂茳, 杨甲山 . 时标上一类二阶非线性动态方程振动性的新准则[J].安徽大学学报(自然科学版), 2019, 43(1):24-31.DOI:10.3969/j.issn.1000-2162.2019.01.004 QIN G J,YANG J S .New criteria for oscillation of certain second-order nonlinear dynamic equations on time scales[J]. Journal of Anhui University (Natural Science Edition), 2019, 43(1):24-31.DOI:10.3969/j.issn.1000-2162.2019.01.004 7 LI Q, WANG R, CHEN F, et al . Oscillation of second-order nonlinear delay differential equations with nonpositive neutral coefficients [J]. Advances in Difference Equations, 2015,2015: 35. DOI:10.1186/S13662-015-0377-y 8 曾云辉,罗李平,俞元洪 .广义中立型Emden-Fowler方程的振动准则[J]. 数学物理学报(A辑), 2016 ,36(6):1067-1081. DOI:10.3969/j.issn.1003-3998.2016.06.006 ZENG Y H, LUO L P,YU Y H .Oscillation criteria for generalized neutral Emden-Fowler equations[J].Acta Mathematica Scientia(Ser A), 2016,36(6):1067-1081.DOI:10.3969/j.issn.1003-3998.2016.06.006 9 林丹玲,屈海东 . 二阶非线性中立型时滞微分方程的新振动准则[J].西南师范大学学报(自然科学版), 2016, 41(8):26-32.DOI:10.13718/j.cnki.xsxb.2016.08.006 LIN D L, QU H D . On new oscillation criteria for second-order nonlinear neutral delay differential equations[J]. Journal of Southwest China Normal University (Natural Science Edition), 2016,41(8): 26-32. DOI:10.13718/j.cnki.xsxb.2016.08.006 10 ZHANG M, CHEN W, MMA E S,et al .Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type[J].Advances in Difference Equations, 2018, 2018: 26. DOI:10.1186/s13662-018-1474-5 11 杨甲山,方彬 .时间测度链上一类二阶非线性时滞阻尼动力方程的振动性分析[J].应用数学, 2017,30(1):16-26. DOI:10.13642/j.cnki.42-1184/o1.2017.01.003 YANG J S,FANG B .Oscillation analysis of certain second-order nonlinear delay damped dynamic equations on time scales[J].Mathematica Applicata, 2017,30(1):16-26. DOI:10.13642/j.cnki.42-1184/o1.2017.01.003 12 DENG X H,WANG Q R,ZHOU Z .Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales[J]. SCIENCE CHINA Mathematics,2017, 60:113-132.DOI:10.1007/s11425-016-0070-y 13 杨甲山 .时间测度链上动力方程振动性的进展[J].安徽大学学报(自然科学版), 2018, 42(1):26-37.DOI:10.3969/j.issn.1000-2162.2018.01.004 YANG J S . Advances of oscillation of dynamic equations on time scales[J]. Journal of Anhui University (Natural Science Edition), 2018, 42(1):26-37. DOI:10.3969/j.issn.1000-2162.2018.01.004 14 杨甲山,覃桂茳,覃学文,等 .一类二阶Emden-Fowler型微分方程的若干振动条件[J].浙江大学学报(理学版),2019,46(3):302-308.DOI:10.3785/j.issn.1008-9497:2019.03.006 YANG J S, QIN G J,QIN X W,et al . New oscillatory conditions of a class of the second-order Emden-Fowler differential equations[J]. Journal of Zhejiang University (Science Edition), 2019,46(3): 302-308. DOI:10.3785/j.issn.1008-9497:2019.03.006 15 李继猛,杨甲山 .时间模上一类二阶泛函动态方程振荡的充分条件[J].浙江大学学报(理学版), 2019, 46(4):405-411.DOI:10.3785/j.issn.1008-9497:2019.04.004 LI J M,YANG J S . Sufficient conditions of oscillation for certain second-order functional dynamic equations on time scales[J].Journal of Zhejiang University(Science Edition),2019,46(4): 405-411. DOI:10.3785/j.issn.1008-9497:2019.04.004 |
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