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一类带强迫项二阶微分方程的区间振动准则 被引量：4

Criteria for Interval Oscillation of a Class Second Order Differential Equations with Forced Term
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摘要 研究了一类带强迫项的二阶微分方程,利用Riccati变换和完全平方技术,得到了该方程区间振动性的结果,最后用实例对所得结果进行了说明. A class of second order differential equations with forced term is investigated. By using Riccati transformation and integrality square technique, interval oscillation criteria of the equation are established. Some examples are discussed to illustrate the theorems.
作者 王培光 蔡海 王亚宁
机构地区 河北大学电子信息工程学院 河北大学数学与计算机学院 石家庄铁道学院数理系
出处 《河北大学学报（自然科学版）》 CAS 北大核心 2010年第1期1-4,10,共5页 Journal of Hebei University(Natural Science Edition)
基金 国家自然科学基金资助项目(10971045) 教育部重点科研项目(207014) 河北省自然科学基金资助项目(A2009000151)
关键词 阻尼 分布偏差变元 区间振动 damped distributed deviating arguments interval oscillation
分类号 O175.1 [理学—基础数学]
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参考文献4

二级参考文献10

  • 1Wang Y Y, Wang P G. Interval oscillation for a class of second order nonlinear differential equation with damped[J]. Communications in Applied Analysis, 2005;9:207-212
  • 2Kiguradze I T. On the oscillation of solutions of the equation dmu/dtm + a(t)|u|nsgnu = 0[J]. Matematicheskii Sbornik, 1964;65:172-187 (in Russian)
  • 3Philos Ch G. A new criterion for the oscillatory and asymptotic behavior of delay differential equations[J].Bulletin L' Academie Polon.des Science, Série des sciences mathématiques, 1981;39:61-64
  • 4Kartsatos A G. Recent results on oscillation of solutions of forced and pertubed nonlinear differential equations of even order[A]. In Stability of System: Theory and Applications[C], Lecture Notes in Pure and Applied Mathmatics. New York: Springer, 1977;17-72
  • 5Yang Q G. Interval oscillation criteria for a forced second order nonlinear ordinary differential equations with oscillatory potential[J]. Applied Mathematics and Computation, 2003;135:49-64
  • 6KONG Q.Interval criteria for oscillation of second-order linear ordinaty differenial equations[J].J Math Anal Appl,1999,229:258-270.
  • 7PHILOS CH G.Oscillation theorems for lineat differential equations of second order[J].Arch Mth(Basel),1989,53:482-492.
  • 8LI W T,AGARWAL R P.Interval oscillation criteria ralated to integral avergaging technique for certain nonlinear differential equations[J].J Math Anal Appl,2000,245:171-188.
  • 9LI W T,AGARWAL R P.Interval oscillation criteria for second order nionlinear differential equatios with damping[J].Computers Math Applic,2000,40:217-230.
  • 10WANG P,WU Y H.Oscillation of certain second-order functional differential equations with damping[J].J Comput Applied Math,2003,157:49-56.

共引文献4

同被引文献27

  • 1王培光,唐楠,高春霞.一类具有连续偏差变元的二阶半线性微分方程的振动准则[J].河北大学学报（自然科学版）,2005,25(6):574-579. 被引量：3
  • 2王培光,武萌.一类具有连续变量的二阶非线性阻尼差分方程的振动准则[J].高校应用数学学报（A辑）,2006,21(1):44-48. 被引量：14
  • 3WANG Peiguang,YU Yuanhong. Oscillation of second order neutral equations with deviating arguments[J]. Math J Toyama Univ, 1998,21 :55-66.
  • 4WANG Peiguang. Oscillation of certain second order nonlinear damped difference equation with continuous variable[J]. Appl Math Lett,2007,20(6):637-644.
  • 5WANG Peiguang,CACCETTA L. Oscillation criteria for boundary value problems of high-order partial functional differential equations[J]. J Comput Appl Math, 2007,206 ( 1 ) : 567 - 577.
  • 6PHU N D, TUNG T T. Existence of soutions of set control differential equations[ J ]. Science and Technology Development, 2007,10 (6) :5 - 14.
  • 7PHU N D, QUANG L T, TUNG T T. Stability criteria for set control differential equations [ J ]. Nonlinear Analysis, TMA, 2008, 69 (11 ) :3715 - 3721.
  • 8TUN N, TUNG T T. Stability of set differential equations and applications[ J]. Nonlinear Analysis, TMA, 2009,71:1526 - 1533.
  • 9PHU N D, TUNG T T. Some results on sheaf - solutions of sheaf set control problems [ J ]. Nonlinear Analysis, TMA, 2007,67 : 1309 - 1315.
  • 10LAKSHMIKANTHAM V. Set differential equations versus fuzzy differential equations[ J]. Applied Mathematics and Computation, 2005,164:277 - 294.

引证文献4

二级引证文献10

河北大学学报（自然科学版）
2010年 第1期

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