Spectrum of Discrete Second-Order Difference Operator with Sign-Changing Weight and Its Applications

Ruyun Ma and Chenghua Gao

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-9

Abstract:

Let be an integer, and let . We discuss the spectrum of discrete linear second-order eigenvalue problems , , where is a parameter, changes sign and on . 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:590968

DOI: 10.1155/2014/590968

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