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Spectrum of Linear Difference Operators and the Solvability of Nonlinear Discrete Problems

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  • Ruyun Ma
  • Youji Xu
  • Chenghua Gao

Abstract

Let with . Let . We study the Fu ik spectrum of the discrete problem , , , where , . We give an expression of via the matching-extension method. We also use such discrete spectrum theory to study nonlinear boundary value problems of difference equations at resonance.

Suggested Citation

  • Ruyun Ma & Youji Xu & Chenghua Gao, 2010. "Spectrum of Linear Difference Operators and the Solvability of Nonlinear Discrete Problems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-27, November.
    • Handle: RePEc:hin:jnddns:757416
    DOI: 10.1155/2010/757416
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