标题：Modified classification of non-self-adjoint second-order difference equations
作者：Ren, Guojing; Agarwal, Ravi P.
作者机构：[Ren, Guojing] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan, Shandong, Peoples R China.; [Agarwal, Ravi P.] Texas A&M Univ Kingsvi 更多
通讯作者地址：[Ren, GJ]Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan, Shandong, Peoples R China.
来源：JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
关键词：Weyl theory; non-self-adjoint; deficiency index; limit point case; limit; circle case; Primary: 34B20; 47B39
摘要：This paper is concerned with the classification of non-self-adjoint second-order difference equations. The relationship between the number of summable solutions of non-self-adjoint difference equations and that of the discrete linear Hamiltonian system is discussed. A classification for non-self-adjoint second-order difference equations is established, which is independent of the choice of the rotated half plane and the fixed point.