Spectrum of Discrete Second-Order Difference Operator with Sign-Changing Weight and Its Applications
Let T>1 be an integer, and let𝕋=1,2,…,T. We discuss the spectrum of discrete linear second-order eigenvalue problems Δ2ut-1+λmtut=0, t∈𝕋, u0=uT+1=0, where λ≠0 is a parameter, m:𝕋→ℝ changes sign and mt≠0 on 𝕋. At last, as an application of this spectrum result, we show the existence of sign-chang...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/590968 |