Existence of solutions for some discrete boundary value problems with a parameter

@article{Yang2009ExistenceOS,
  title={Existence of solutions for some discrete boundary value problems with a parameter},
  author={Yang Yang and Jihui Zhang},
  journal={Applied Mathematics and Computation},
  year={2009},
  volume={211},
  pages={293-302}
}
Keywords: Discrete Homological nontrivial critical point Morse theory Local linking a b s t r a c t In this paper, the existence and multiplicity results of solutions are obtained for the discrete nonlinear two point boundary value problem (BVP) ÀD 2 uðk À 1Þ ¼ kf ðk; uðkÞÞ k 2 þ is a parameter. By using the critical point theory and Morse theory, we obtain that the above (BVP) has solutions for k being in some different intervals. In this paper, we consider the existence and multiplicity of… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 17 references

Nontrivial solutions of boundary value problems of second-order difference equations

  • D. Y. Bai, Y. T. Xu
  • J. Math. Anal. Appl. 326
  • 2007
1 Excerpt

On boundary value problems for a discrete generalized Emden–Fowler equation

  • J. S. Yu, Z. M. Guo
  • J. Differen. Equat. 231
  • 2006
1 Excerpt

D

  • R. P. Agarwal, P. Perera
  • O’Regan, Multiple positive solutions of singular…
  • 2004
1 Excerpt

Existence of multiple solutions for second order discrete boundary value problems

  • J. Henderson, H. B. Thompson
  • Comput. Math. Appl. 43
  • 2002
1 Excerpt

Nonlinear Functional Analysis, Shandong Publishing House of Science and Technology, Jinan

  • D. J. Guo
  • 2001
3 Excerpts

Remarks on multiple nontrivial solutions for quasi-linear resonant problems

  • J. Q. Liu, J. B. Su
  • J. Math. Anal. Appl. 258
  • 2001
2 Excerpts

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