The spectrum of the non-selfadjoint system of difference operators of first order

Authors : C. COŞKUN

Pages : 0-0

Doi:10.1501/Commua1_0000000379

View : 6 | Download : 7

Publication Date : 2000-01-01

Article Type : Research Paper

Abstract :Let L denote the operatör generated in f 2 by the diflerence expression an+iy`ı+\ ` +Pny® %); = 30 = 1, neN = {l,2,...); an-ıy:insert ignore into journalissuearticles values(D n-l +bny^^^ +qnyn and the boundary condition yf = 0 where insert ignore into journalissuearticles values(a„);, insert ignore into journalissuearticles values(b„);, insert ignore into journalissuearticles values(p„); and insert ignore into journalissuearticles values(q„); are complex sequences and a 0, bj, * o for aii n e N. İn this paper we n investig3te the continuous spectnım, tlıe eigaıvalues andthe spectral singularities of L.
Keywords : spectrum, non selfadjoint system, difference operators