Abstract and Applied Analysis (Jan 2011)
Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions
Abstract
We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) ππβ1π¦πβ1+πππ¦π+πππ¦π+1=ππ¦π, πββ and (πΎ0+πΎ1π)π¦1+(π½0+π½1π)π¦0=0, where (ππ) and (ππ) are complex sequences, π is an eigenparameter, and πΎπ, π½πββ for π=0, 1.