Spectral properties of non-selfadjoint system of differential equations

Abstract

In this paper we investigate discrete spectrum of the boundary value problem $iy_1prime+ q_1(x)y_2 = lambda y_1$ , -$iy_2prime+q_2(x)y_1=lambda y_2, xvarepsilon R_+=[0,infty)$ $y_2(0)-hy_1(0)=0$ in the space $L_2(R_+,C^2 )$ ,where $q_i,$ i= 1,2 are complex valued functions and h$in$ C.