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一类具有阻尼项的高阶泛函微分方程解的振动性质 被引量：1

Oscillation of a Class of Higher Order Functional Differential Equations with Damped Term
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摘要 研究了一类具有阻尼项的高阶泛函微分方程的振动性,得到了两个新的解的振动准则,所得结果推广了一些文献中的振动定理. This paper investigate a class of higher order functional differential equations with damped term, and derive two new oscillatory criteria of solution. The results obtained extend several oscillation theorems in the literature.
作者 丁朝刚 林诗仲 吕银平
机构地区 海南师范大学数学与统计学院
出处 《海南师范大学学报（自然科学版）》 CAS 2009年第4期379-383,共5页 Journal of Hainan Normal University（Natural Science）
关键词 泛函微分方程 阻尼项 振动 functional differential equations damped term oscillation
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Bainov D D, Mishev D P. Oscillation Theory for Neutral Differential Equations with Delay [M], Bristol: Adam HILGER,1991.
  • 2Erb H L, Kong Q K, Zhang B G. Oscillation Theory for Functional Differential Equations [M]. New York : Marcel Dekker, 1995.
  • 3Wang Peiguang, Ge Weigao. Oscillation of a class of higher order functional differential equations with damped term [J ]. Applied Mathematics and Computation, 2004,148: 351-358.
  • 4SAKER S H. Oscillation criteria of hyperbolic equations with deviating arguments [J ]. Publ. Math. Debrecen, 2003,62,(1-2):165-185.
  • 5Philos Ch G. Oscillation theoreins for linear differential equations of second order [J].Arch. Math,1989,53: 482- 492.
  • 6Kiguradze I T. On the Oscillation of solutions of the Eq. (dmu/tm) + a (t) tu sgn u = 0 [J ]. Mat. Sb., 1964,65: 172-187(in Russian).
  • 7Philos Ch G, A new criterion for the oscillatory, and asymptotic behavior of delay differential equations [ J ]. BULL Acad. Pol. Sci. Set. Sci. Mat.,1981,39:61-64.
  • 8Kartsatos A G. Recent results on oscillation of solutions of forced and perturbed nonlinear differential equations of even order in :Stability of Dynamical Systems: Theory and Applications, Lecture Notes in Pure and Applied Mathematics[M]. New York :Springer, 1977.

同被引文献13

  • 1米玉珍,牛连杰,余秀萍.高阶中立型微分方程的振动性[J].河北建筑工程学院学报,2004,22(1):131-133. 被引量：2
  • 2王连文.一类高阶泛函微分方程解的渐近分析[J].山东大学学报（自然科学版）,1993,28(4):383-390. 被引量：1
  • 3关治洪,刘永清.高阶泛函微分方程解的渐近分类与振动[J].应用数学,1995,8(2):135-140. 被引量：1
  • 4GRACE S R, LALLI B S. Oscillation theorems for nth order delay differential equations [J]. Journal of Mathematical Analysis and Applications, 1983,91 : 352-366.
  • 5GRACE S tL Oscillatory and asymptotic behavior of certain functional differential equations [J]. Journal of Matbematical Analysis and Applications, 1991,162:177-188.
  • 6GRACE S R. Oscillatory and asymptotic behavior of delay differential equations with a nonlinear damping term [J].Journal of Mathematical Analysis and Applieations, 1992, 168: 306- 318.
  • 7AGARWAL R P, GRACE S R. Oscillation of certain functional differential equations[J]. Computers and Mathematics with Applicatuons, 1999,38:143-153.
  • 8CANDAN T, DAHIYA R S. Oscillation theorems for nth-order neutral functional differential equations[J]. Mathematical and Computer Modelling, 2006,43: 357-367.
  • 9ZHANG C L, FENG W Z, YANG F J. Oscillations of higher order nonlinear functional differential equations with impulses [J]. Applied Mathematics and Computation, 2007, 190: 370- 381.
  • 10KARTASATOS I T. On the oscillation of solutions of equation dmu/dtm+a(t)/u/msgnu=0[J].Mathematicheskii Sbornik, 1964,65 : 172-187.

引证文献1

海南师范大学学报（自然科学版）
2009年 第4期

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