OSCILLATORY BEHAVIOUR OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER
被引量：10
OSCILLATORY BEHAVIOUR OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER
摘要
This paper investigates the oscillatory and nonoscillatory behaviour of solu- tions of a class of third order nonlinear differential equations. Results extend and improve some known results in the literature.
This paper investigates the oscillatory and nonoscillatory behaviour of solu- tions of a class of third order nonlinear differential equations. Results extend and improve some known results in the literature.
参考文献16
-
1N. Parhi P. Das(Department of Mathematics, Berhampur University, Bechampur-760007, India).OSCILLATORY AND ASYMPTOTIC BEHMIOUR OF A CLASS OF NONLINEAR DIFFERENTIALEQUATIONS OF THIRD ORDER[J].Acta Mathematica Scientia,1998,18(1):95-106. 被引量：2
-
2Aydin Tiryaki,A. Okay ?elebi.Nonoscillation and asymptotic behaviour for third order nonlinear differential equations[J]. Czechoslovak Mathematical Journal . 1998 (4)
-
3L. Erbe.Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations[J]. Annali di Matematica Pura ed Applicata, Series 4 . 1976 (1)
-
4Erbe L.Existence of oscillatory solutions and asymptotic behaviour for a class of a third order lineardifferential equations. Pacific Journal of Mathematics . 1976
-
5Hanan M.Oscillation criteria for a third order linear differential equations. Pacific Journal of Mathematics . 1961
-
6Waltman P.Oscillation criteria for third order nonlinear differential equations. Pacific Journal of Mathematics . 1966
-
7Erbe L.Oscillation, nonoscillation and asymptotic behaviour for third order nonlinear differential equa-tions. Annali di Matematica Pura ed Applicata . 1976
-
8Erbe L,Rao V S H.Nonoscillation results for third order nonlinear differential equations. Journal of Mathematical Analysis and Applications . 1987
-
9Heidel J W.Qualitative behaviour of solutions of a third order nonlinear differential equation. Pacific Journal of Mathematics . 1968
-
10Lazer A C.The behavior of solutions of the differential equation y’’’+p(x)y’ + q(x)y = 0. Pacific Journal of Mathematics . 1966
二级参考文献10
-
1N. Parhi.Nonoscillation of solutions of a class of third order differential equations[J]. Acta Mathematica Hungarica . 1989 (1-2)
-
2L. Erbe.Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations[J]. Annali di Matematica Pura ed Applicata, Series 4 . 1976 (1)
-
3Swanson C A.Comparison and oscillation theory of linear differential equation. . 1968
-
4Nelson J L.A Stability theorem for a third order nonlinear differential equation.Prcific J. Mathematica Journal . 1968
-
5Parhi N,Parhi S.On the behaviour of solutions of the differential equation (r(t)y")’ + q(t)(y’)β +p(t)yα =f(t). Annales Polonici Mathematici . 1986
-
6Heidel J W.Qualitative behaviour of solutions of a third order nonlinear nonlinear equation. Pacific Journal of Mathematics . 1968
-
7Parhi N,Das P.Asymptotic property of solution of a class of third order differential equntions. Proceedings of the American Mathematical Society . 1990
-
8Kura T.Nonoscillation criteria for nonlinear ordinary differential equations of the third order. NonlinearAnal. Theory, Methods and Appl . 1984
-
9Laier A C.The behaviour of the differential equation y"’ + p(x)y’ + q(x)y = 0. Pacific Journal of Mathematics . 1966
-
10Waltman P.Oscillation criteria for third order nonlinear differential equations. Pacific Journal of Mathematics . 1966
同被引文献12
-
1张全信,燕居让.一类二阶非线性阻尼微分方程的振动性[J].系统科学与数学,2004,24(3):296-302. 被引量：35
-
2杨军,李静,王春艳.变时滞高阶非线性中立型微分方程解的振动性、渐近性及分类[J].纯粹数学与应用数学,2005,21(2):118-122. 被引量：3
-
3韩效宥,石燕霞,庄需芹.某类系数变号的二阶非线性变时滞微分方程的振动性[J].数学的实践与认识,2007,37(15):155-159. 被引量：5
-
4韩效宥,郭芳,韩少伟,张建国.具变号系数的四阶非线性微分方程的振动性[J].数学的实践与认识,2008,38(11):168-172. 被引量：5
-
5郭芳,朱红霞,韩效宥.具变号系数的四阶非线性时滞微分方程的振动性[J].北方工业大学学报,2009,21(3):37-40. 被引量：3
-
6郭芳,朱红霞,韩效宥.具变号系数的四阶非线性变时滞微分方程的振动性[J].山西大同大学学报（自然科学版）,2010,26(3):9-11. 被引量：1
-
7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. 被引量：12
-
8俞元洪.三阶中立型分布时滞微分方程的振动定理[J].琼州学院学报,2010,17(5):1-5. 被引量：4
-
9N. Parhi P. Das(Department of Mathematics, Berhampur University, Bechampur-760007, India).OSCILLATORY AND ASYMPTOTIC BEHMIOUR OF A CLASS OF NONLINEAR DIFFERENTIALEQUATIONS OF THIRD ORDER[J].Acta Mathematica Scientia,1998,18(1):95-106. 被引量：2
-
10仉志余,王晓霞,俞元洪.三阶中立型分布时滞微分方程的振动定理[J].工程数学学报,2013,30(6):871-880. 被引量：9
引证文献10
-
1E.M.E.Zayed,M.A.El-Moneam.SOME OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR FUNCTIONAL ORDINARY DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2007,27(3):602-610.
-
2俞元洪.三阶非线性中立型泛函微分方程的振动性[J].滨州学院学报,2010,26(6):1-6. 被引量：7
-
3王艳梅.一类三阶非线性时滞微分方程的振动[J].数学学习与研究,2011(11):104-105.
-
4高正晖,罗李平.含分布时滞与阻尼项的三阶非线性微分方程的Philos型振动[J].山东大学学报（理学版）,2013,48(4):85-90. 被引量：2
-
5蔡宏铮.带阻尼项的高阶时滞微分方程的振动性和渐近性[J].广东技术师范学院学报,2013,34(3):7-11.
-
6仉志余,王晓霞,俞元洪.三阶中立型分布时滞微分方程的振动定理[J].工程数学学报,2013,30(6):871-880. 被引量：9
-
7赵临龙,俞元洪.又一类三阶中立型分布时滞微分方程的振动定理[J].数学杂志,2014,34(5):959-967. 被引量：1
-
8仉志余,王晓霞,俞元洪.三阶非线性泛函微分方程振动的比较准则[J].应用数学,2016,29(2):352-358. 被引量：2
-
9范淑慧,孔彦,白玉真.三阶中立型微分方程的渐近性质（英文）[J].曲阜师范大学学报（自然科学版）,2017,43(1):1-9.
-
10Jesusa V. Gutierrez.Making of a Great Filipino Nurse Educator[J].Open Journal of Nursing,2020,10(5):563-594.
二级引证文献20
-
1李元旦,高正晖,邓义华.三阶半线性中立型微分方程的振动性[J].北华大学学报（自然科学版）,2012,13(3):267-270. 被引量：2
-
2罗李平,俞元洪,曾云辉.三阶非线性时滞微分方程振动性的新准则[J].应用数学和力学,2013,34(9):941-947. 被引量：8
-
3王芳.一类三阶非线性中立型泛函微分方程的振动性[J].山西大同大学学报（自然科学版）,2014,30(1):15-17.
-
4林文贤.一类三阶非线性中立型阻尼泛函微分方程的振动性定理[J].河南大学学报（自然科学版）,2015,45(3):258-261. 被引量：4
-
5王世利,仉志余.一类三阶非线性中立型分布时滞微分方程的振动性[J].数学的实践与认识,2015,45(13):278-285. 被引量：8
-
6林文贤.三阶非线性中立型阻尼泛函微分方程的振动性[J].安徽大学学报（自然科学版）,2015,39(3):5-9. 被引量：6
-
7孟智娟,马立东.非线性中立型时滞微分方程解的零点距估计[J].西南民族大学学报（自然科学版）,2015,41(5):640-644.
-
8仉志余,王晓霞,俞元洪.三阶非线性泛函微分方程振动的比较准则[J].应用数学,2016,29(2):352-358. 被引量：2
-
9龙程,刘轶,谢永钦.一类非线性中立型微分方程解的振动性[J].数学理论与应用,2017,37(1):7-15. 被引量：2
-
10侯晓磊.三阶泛函微分方程的振动性的进一步研究[J].江汉大学学报（自然科学版）,2018,46(4):320-324.
-
1N. Parhi P. Das(Department of Mathematics, Berhampur University, Bechampur-760007, India).OSCILLATORY AND ASYMPTOTIC BEHMIOUR OF A CLASS OF NONLINEAR DIFFERENTIALEQUATIONS OF THIRD ORDER[J].Acta Mathematica Scientia,1998,18(1):95-106. 被引量：2
-
2孟繁伟.ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF A SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1995,11(2):207-212.
-
3Sanyi Tang Department of Computer and Mathematics,Hubei Institute for Nationalities,Enshi 445000,P.R.ChinaYanni Xiao Institute of Mathematics,Academia Sinica,Beijing 100080,P.R.China E-mail:xyn@math03.math.ac.cnJufang Chen Department of Mathematics,Shanxi Normal University,Xi’an 710062,P.R.China.Linearized Oscillations in Nonlinear Delay Difference Equations[J].Acta Mathematica Sinica,English Series,1999,15(4):569-574. 被引量：1
-
4A. Ramayyan(Dept. of Math., Madras Univ. P. G. Centre,Salem - 630 Oll. Tumil Nadu, India).ON NONOSCILLATORY SEQUENCES OVER DISCRETE HARDY FIELDS[J].Acta Mathematica Scientia,1994,14(1):100-106.
-
5Yu, Heng, Liu, Yuping.NONOSCILLATORY COMBINATION OF MAC CORMACK AND WARMING-BEAM SCHEMES FOR HYPERBOLIC CONSERVA-TION LAWS[J].Journal of Hydrodynamics,2000,12(2):101-106.
-
6赵柱,李万同.ASYMPTOTIC BEHAVIOR OFNONOSCILLATORY SOLUTIONS OF SECOND ORDER NEUTRAL NONLINEAR DIFFERENCE EQUATIONS[J].Annals of Differential Equations,1999,15(4):453-459. 被引量：1
-
7王其如.OSCILLATIONS OF FIRST ORDER NONLINEAR RETARDED DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1996,12(1):100-104.
-
8梁中超.NECESSARY AND SUFFICIENT CONDITIONS FOR STABILITY OF SECOND ORDER LINEAR OSCILLATIONS[J].Chinese Science Bulletin,1988,33(8):622-625.
-
9蒋建初.ASYMPTOTIC BEHMIOR OF MTH ORDER NEUTRAL DIFFERENCE EQUATION WITH FORCED TERM[J].Annals of Differential Equations,2000,16(4):330-336.
-
10Xin Xiao-kang, Yu Heng, Shen Yi-fanDepartment of Mechanics and Engineering Science, Fudan University, Shanghai 200433,P. R. China.A NEW NONOSCILLATORY CHARACTERISTICS SCHEME FOR HYPERBOLIC CONVECTION EQUATIONS[J].Journal of Hydrodynamics,1998,10(4):62-70.
