On the structure of discrete spectrum of the non-selfadjoint system of differential equations in the first order

  • Akin, Omer (Ankara University, Faculty of Sciences Department of Mathematics Ankara-TURKEY) ;
  • Bairamov, Elgiz (Ankara University, Faculty of Sciences Department of Mathematics Ankara-TURKEY)
  • Published : 1995.08.01

Abstract

This paper is concerned with the problem given below $$ (1.1) i\frac{dx}{du_1(x,\lambda)} + q1(x)u_2(x,\lambda) = \lambdau_1(x,\lambda) 0 \leq x < \infty - i\frac{dx}{du_2(x,\lambda)} + q2(x)u_1(x,\lambda) = \lambdau_2(x,\lambda), $$ $$ (2) u_2(0,\lambda) - hu_1(0,\lambda) = 0 $$ where $\lambda$ is a complex parameter and h is a non-zero complex number.

Keywords