Spectrum of Linear Difference Operators and the Solvability of Nonlinear Discrete Problems
Let T∈ℕ with T>5. Let 𝕋:={1,…,T}. We study the Fučik spectrum Σ of the discrete problem Δ2u(t-1)+λu+(t)-μu-(t)=0, t∈𝕋, u(0)=u(T+1)=0, where u+(t)=max{u(t),0}, u-(t)=max{-u(t),0}. We give an expression of Σ via the matching-extension method. We also use such discrete spe...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/757416 |
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