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- Title
Spectrum of Discrete Second-Order Difference Operator with Sign-Changing Weight and Its Applications.
- Authors
Ruyun Ma; Chenghua Gao
- Abstract
Let T > 1 be an integer, and let T = {1,2,...,T}. We discuss the spectrum of discrete linear second-order eigenvalue problems Δu²(t - 1) + λm(t)u(t) = 0, t ∈ T, u (0) = u(T + 1) = 0, where λ ≠ 0 is a parameter, m : T → R changes sign and m(t) ≠ 0 on T. At last, as an application of this spectrum result, we show the existence of sign-changing solutions of discrete nonlinear second-order problems by using bifurcate technique.
- Subjects
DISCRETE choice models; DIFFERENCE operators; EIGENVALUES; BIFURCATION theory; NONLINEAR difference equations
- Publication
Discrete Dynamics in Nature & Society, 2014, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2014/590968