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On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems 被引量：5

On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems
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摘要 In this paper, we consider discrete second order three-point boundary valueproblems. By exploring the properties of the associated Greens function and applyingGuo-Krasnoselskiis fixed point theorem, we show the existence of eigenvalue intervals. In this paper, we consider discrete second order three-point boundary valueproblems. By exploring the properties of the associated Greens function and applyingGuo-Krasnoselskiis fixed point theorem, we show the existence of eigenvalue intervals.
作者 Zeng-jiDu Chun-yanXuet Wei-gaoGe
机构地区 DepartmentofMathematics DepartmentofMathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第1期105-114,共10页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China (No. 10371006)
关键词 eigenvalue intervals positive solution difference equations greensfunction fixed point theorem eigenvalue intervals positive solution difference equations greensfunction fixed point theorem
分类号 O177.91 [理学—基础数学] O175.8 [理学—基础数学]
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参考文献10

  • 1Agarwal, R.P., O'Regan, D., Wong, P.J.Y. Positive solutions of differential, difference and integral equations. Kluwer Academic Publishers, Boston, 1999.
  • 2Elaydi, S.N. An Introduction to difference equations, second edition. Undergraduate Texts in Mathematics.Springer-Verlag, New York, 1999.
  • 3Eloe, P.W., Raffoul, Y., Reid, D.T. et al. Positive solutions of nonlinear functional difference equations.Comput. Math. Appl., 42:639-646 (2001).
  • 4Erbe, L.H., Hu, S.C., Wang H.Y. Multiple positive solutions of some boundary value problems. J. Math.Anal. Appl., 184:640-648 (1994).
  • 5Guo, D.J., Lakshmikantham ,V. Nonlinear problems in abstract cones. Academic Press, San Diego, 1988.
  • 6Guo, Y.P., Ge W.G. Positive solutions for three-point boundary value problems with dependence on the first order derivative. J. Math. Anal. Appl., 290:291-301 (2004).
  • 7Jiang, D.Q., Lin, H., Existence of positive solutions to (k,n - k) conjugate boundary value problems.Kyushu J. Math., 53:115-125 (1998).
  • 8Kong, L.J., Kong Q.K., Zhang B.G. Positive solutions of third-order functional difference equations. Comput. Math. Appl., 44:481-489 (2002).
  • 9Ma, R.Y. Positive solutions of a nonlinear three-point boundary value problems. Electron J. Differential Equations., 34:1-8 (1999).
  • 10Ma, R.Y. Positive solutions for second order three-point boundary value problems. Appl. Math. Lett.,14:1-5 (2001).

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Acta Mathematicae Applicatae Sinica
2005年 第1期

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