Highly Influenced

# 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} }

- Published 2009 in Applied Mathematics and Computation
DOI:10.1016/j.amc.2009.01.040

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