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

Year 2000, Volume: 49 , 0 - 0, 01.01.2000

C. Coşkun

https://doi.org/10.1501/Commua1_0000000379

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:(D
n-l
+bny^^^ +qnyn
and the boundary condition
yf = 0
where (a„), (b„), (p„) and (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

References

• Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi