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On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems

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Abstract

In this paper, we consider discrete second order three-point boundary value problems. By exploring the properties of the associated Green’s function and applying Guo-Krasnosel’skii’s fixed point theorem, we show the existence of eigenvalue intervals.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

    Zeng-ji Du, Chun-yan Xue & Wei-gao Ge

  2. Department of Mathematics, Shenyang Normal University, Shenyang 110034, China

    Chun-yan Xue

Authors
  1. Zeng-ji Du
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  2. Chun-yan Xue
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  3. Wei-gao Ge
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Correspondence to Zeng-ji Du.

Additional information

Supported by the National Natural Science Foundation of China (No.10371006)

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Du, Zj., Xue, Cy. & Ge, Wg. On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems. Acta Mathematicae Applicatae Sinica, English Series 21, 105–114 (2005). https://doi.org/10.1007/s10255-005-0221-3

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  • DOI: https://doi.org/10.1007/s10255-005-0221-3

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