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一类二阶微分方程解的振动性与渐近性 被引量:5

Oscillatory and Asymptotic Behavior of Solutions of a Kind of Second Differential Equations
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摘要 在研究一类二阶微分方程解的振动与渐近时,增加一个条件,即新方程中新出现项的系数函数与自变量同号,并且一阶连续可导,从而构成了新方程解振动与渐近的一个充分条件. In the studying of the oscillatory and asymptotic behavior of solutions about a kind of second order differential equation, a new condition , namely that the new emerged coefficient function is one-order continuously derivable and has the same sign with its factor, is added to the known sufficient condition so that a new sufficient condition is obtained.
出处 《内江师范学院学报》 2007年第4期28-30,共3页 Journal of Neijiang Normal University
关键词 二阶微分方程 振动性 渐近性 正商 the second differential equations oscillatory behavior asymptotic behavior positive quotient
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参考文献5

  • 1[1]WONG P.J.Y and AGARWAL RP.Oscillatory behavior of solutions certain second order nonlinear differential equations[J].J.Math.Anal.Appl,1996,198:337-354.
  • 2侯新华,厉亚.二阶非线性泛函微分方程解的振动性与渐近性[J].湖南城市学院学报(自然科学版),2004,13(4):44-45. 被引量:15
  • 3罗卫华,杜雪堂.一类二阶非线性微分方程解的振动性与渐近性[J].湖南师范大学自然科学学报,2005,28(3):7-9. 被引量:2
  • 4[4]E.Thandapani.Oscillatory behaviour of solutions of second order nonlinear difference equations[J].J Math.Phys.Sci,1991,25:457-464.
  • 5[5]Wong,P,J.Y and Agarwal,R.P.Oscillation theorems and existence of positive monotone solutions for second order nonlinear differential equations[J].Math.Comput.Modelling,1995,21(3).

二级参考文献9

  • 1侯新华,厉亚.二阶非线性泛函微分方程解的振动性与渐近性[J].湖南城市学院学报(自然科学版),2004,13(4):44-45. 被引量:15
  • 2[1]W T Li.Oscillation of certain second order nonlinear differential equation[J]. J M A A 1998,217(1):1-14.
  • 3[2]P J Y Wong, R P Agarwal.Oscillatory behavior of solutions of certain second order nonlinear differential equations[J]. J. M. A. A. 1996, 198(2):337-354.
  • 4WONG P J, AGARWAL R P. Oscillatory behavior of solutions certain second order nonlinear differential equations[ J]. J Math Anal Appl, 1996,198:337-354.
  • 5LI W T. Oscillation of certain second order nonlinear differential equations[J]. J Math Anal Appl, 1998,217(1): 1-14.
  • 6BAI Y Z. Oscillatory and asymptotic behavior of solutions for second order difference equations[ D]. Master Thesis, Qufu Normal university. 1999.
  • 7WONG P J, AGARWAL R P. Oscillation theorems and existence of positive monotone solutions for second order nonlinear differential equations[J]. Math Comput Modelling, 1995,21(3) :63-84.
  • 8白玉真.二阶差分方程解的振动性与渐近性[J].系统科学与数学,2001,21(2):223-234. 被引量:5
  • 9彭名书,葛渭高,王准.非线性泛函微分方程解的性态[J].应用数学学报,2002,25(2):366-371. 被引量:16

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