Strong limit point criteria for a class of singular discrete linear Hamiltonian systems☆

https://doi.org/10.1016/j.jmaa.2007.02.058Get rights and content
Under an Elsevier user license
open archive

Abstract

This paper is concerned with the limit point case for a class of singular discrete linear Hamiltonian systems. The limit point case is divided into the strong and the weak limit point cases. Several sufficient conditions for the strong limit point case are established. In consequence, two criteria of the strong limit point case for second-order formally self-adjoint vector difference equations are obtained.

Keywords

Defect index
Limit point case
Strong limit point case
Discrete linear Hamiltonian system

Cited by (0)

☆

This research was supported by the NNSF of China (Grant 10471077), Shandong Research Funds for Young Scientists (Grant 03BS094), and the NNSF of Shandong Province (Grant Y2006A15).

Copyright © 2007 Elsevier Inc. All rights reserved.