期刊文献+

泛函方程解的振动准则的一个新结果 被引量:4

A New Result of Oscillation Criterion of Functional Equations
下载PDF
导出
摘要 通过对高阶泛函方程x(g(t))=P(t)x(t)+m∑i=1Qi(t)x(gk+i(t))解的振动性的研究,得到有别于其它研究的新结果,并推广了某些研究中的结果. This Paper studies the oscillation of the following higher order functional equationx(g(t))=P(t)x(t)+^m∑i=1Qi(t)x(g^k+i(t))A new oscillation criterion is obtained, and these criteria improve some results of references.
机构地区 茂名学院数学系
出处 《茂名学院学报》 2009年第6期58-60,共3页 Journal of Maoming College
基金 茂名学院自然科学研究基金资助项目
关键词 振动准则 变系数 泛函方程 oscillation criterion varlablc coeffcient functional equation
  • 相关文献

参考文献6

  • 1Agarwal R. P, Wong P J Y. Advanced Topics in Differece Equataions[ M]. Dordrecht: Klawer Academic Publishers, 1997.
  • 2Erbe L H, Kong Q, Zhang B G. Oscillation Theory for Fanctional Differential Equations[ D]. New York:Marcel Dekker, 1995.
  • 3Colder W, Werbowski J. Oscillation of Linear Functional Equations of the Second Order[ J ]. Fankcialaj Ekvacioj, 1994,37 (2) : 211 - 228.
  • 4Nowakowska W. Werbowski J.Osciclafion of Linear Fanctional Equations of Higher Order[J]. Arch. Math, 1995(31):251 -285.
  • 5周勇,俞元洪.变系数函数方程解的振动性[J].系统科学与数学,1999,19(3):348-352. 被引量:17
  • 6B. G. Zhang, S. K. Choi. Osciclation and Nonosciclation of a Class of Funarional Equations [ J]. Math. Nachr, 2001 (3) : 159 - 169.

二级参考文献1

  • 1Erbe L H,Oscillation Theory for Functional Differential Equations,1995年

共引文献16

同被引文献25

  • 1申建华,IP. Stavroulakis.AN OSCILLATION CRITERIA FOR SECOND ORDERFUNCTIONAL EQUATIONS[J].Acta Mathematica Scientia,2002,22(1):56-62. 被引量:14
  • 2Golda W, Werbowski J. Oscillation of linear functional equations of the second order[ J]. Funkcialaj Ekvaeioj, 1994, 37 (2) :211 -228.
  • 3Nowakowska W, Werbowski J. Oscillation of Linear Functional Equations of Higher Order [ J ]. Arch Math, 1995, 31:251 - 258.
  • 4Nowakowska W, Werbowski J. Oscillatory behavior of solutions of functional equations[ J]. Nonlinear Analysis, 2001, 44:767 -775.
  • 5Lin Q W, Wu Y Z, Liao S Q. The oscillation of nonlinear functional equation with variable coefficients [ J ]. Journal of Mathematics Research, 2009,1 (2) :216 - 221.
  • 6林全文,吴英柱,廖思泉.变系数非线性泛函方程解的振动准则[J].茂名学院学报,2007,17(1):64-66. 被引量:7
  • 7AGARWAL R P,GRACE S K,REGAN D O. Oscillation theory for difference and functional differential equations[M].Kluwer,Dordrecht,2000.
  • 8GYORI I,LADAS G. Oscillation theory of delay differential equations with applications[M].New York:Oxford Univeristy Press,1991.
  • 9V TRIGIANTE D. Th~ory of difference equations[M].Massachusettes:Academic Press,1988.
  • 10GOLDA W,WERBOWSKII L. Oscillation of linear functional equations of the second order[J].Funkcialaj Ekvacioj,1994,(02):211-227.

引证文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部