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and the boundary condition y(0) = 0 as Ly= ly,whereqis a complex-valued function. The spectral analysis of Lhas been studied by Naimark[7]. Naimark has proved that there are some poles of resolvent’s kernelwhich are not the eigenvalues of the operator L.(Schwartz [8] named thesepoints as spectral singularities of L).Moreover Naimark has proved thatspectral singularities are on the continuous spectrum, he has also shownthat Lhas a nite number of eigenvalues and spectral singularities withnite multiplicities if the condition

SPECTRAL PROPERTIES OF A NON SELFADJOINT SYSTEM OF DIFFERENTIAL EQUATIONS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION