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TWO-POINT BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS 被引量:2

TWO-POINT BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS
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摘要 In this paper, we apply a critical point theorem and obtain the condition for the existence of three solutions to two-point boundary value problem of a second order nonlinear difference equation. In this paper, we apply a critical point theorem and obtain the condition for the existence of three solutions to two-point boundary value problem of a second order nonlinear difference equation.
作者 Cai Xiaochun
机构地区 College of Statistics
出处 《Annals of Differential Equations》 2006年第1期1-6,共6页 微分方程年刊(英文版)
关键词 nonlinear difference equations boundary value problem criticalpoint theory nonlinear difference equations, boundary value problem, criticalpoint theory
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同被引文献10

  • 1BRAYTON R K, WILLOUGHBY R A. On the numerical integration of a symmetric system of difference differential equation of neutral type[J],J Math Anal Appl, 1998,18 : 182 - 189.
  • 2ZHANG Guang, CHENG Sui-sun. Oscillation criteria for a neutral difference equation delay [ J ], Appl Math Lett, 1995,8 ( 3 ) : 13 - 17.
  • 3KELLEY W G, PETERSON A C. Difference equations: an introduction with applications[ M]. New York: Academic Press, 1991. 1 -288.
  • 4AGARWAL R P. Difference equation and inequalities[ M ]. New York: Marcel Dekker, 1990,
  • 5BRAYTON R K,,WILLOUGHBY R A.On the numerical integration of a symmetric system ofdifference differential equation ofneutral type[].JMathAnalAppl.1998
  • 6AGARWALR P.Difference equation and inequalities[]..1990
  • 7G. zhang and S.S. Cheng.Oscillation criteria for a neutral difference equation with delay[].Applied Mathematics Letters.1995
  • 8Kelley W G,Peterson A C.Difference Equations: An Introduction with Applications[]..1991
  • 9.TWO-POINT BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS[].Annals of Differential Equations.2006
  • 10张炳根,杨博.非线性高阶差分方程的振动性[J].数学年刊(A辑),1999,20A(1):71-80. 被引量:21

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