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变系数函数方程解的振动准则 被引量:14

OSCILLATION CRITERIA OF FUNCTIONAL EQUATIONS WITH VARIABLE COEFFICIENTS
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摘要 本文建立了一类交系数非线性函数方程一切解振动的几个充分条件,并且给出了它们在差分方程中的若干应用.本文的结果改进和推广了近期文献的某些结果. in this paper, some sufficient conditions for oscillation of functional equation with variable coefficients are established. Some applications in difference equations are given. Our results improve some of the known results in the literature.
出处 《应用数学学报》 CSCD 北大核心 2000年第3期413-419,共7页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金
关键词 非线性 振动准则 变系数函数方程 差分方程 Functional equation, nonlinear, oscillation
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参考文献1

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

同被引文献40

  • 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
  • 2申淑媛,翁佩萱.具有脉冲的非线性时滞差分方程的振动性和渐近性[J].华南师范大学学报(自然科学版),2005,37(2):93-98. 被引量:2
  • 3Golda W, Werbowski J. Oscillation of linear functional equations of the secord order[J]. Funkcialaj Ekvacioj, 1994,37(1):221-228.
  • 4Nowkowska W, Werbowski J. Oscillation of functional equations of higher order[J]. Arcb Math, 1995,31:251- 258.
  • 5Kocic V L,Ladas G.Global Behavior of Nonlinear Difference Equation of Higher Order With Application[M].Dordrecht:Kluwer Academi Publishers,1993.
  • 6Erbe L H,Kong Q,Zhang B G.Oscillation Theory for Functional Differential Equations[M].New York:Marcel Dekker,1995.
  • 7Golda W,Werbowski J.Oscillation of Linear functional equations of the second order[J].Funkcialaj Ekuacioj,1994,37(2):211-228.
  • 8Nowkowska W,Werbowski J.Oscillation of Functional Equations of Higher Order[J].Arch math,1995,31:251-258.
  • 9Golda W, Werbowski J. Oscillation of linear functional equations of the second order[ J]. Funkcialaj Ekvaeioj, 1994, 37 (2) :211 -228.
  • 10Nowakowska W, Werbowski J. Oscillation of Linear Functional Equations of Higher Order [ J ]. Arch Math, 1995, 31:251 - 258.

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