Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 3
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- Pages.401-413
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
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.