Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems
By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=0=Δ𝑥(𝑇), where 𝑇 is a positive integer, ℤ(1,𝑇...
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Main Authors: | Jianmin Guo, Caixia Guo |
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Format: | Article |
Language: | English |
Published: |
Wiley
2011-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2011/319829 |
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