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In this paper we are concerned with a new class of BVP' s consisting ofeigendependent boundary conditions and two supplementary transmissionconditions at one interior point. By modifying some techniques of classicalSturm-Liouville theory and suggesting own approaches we find asymptoticformulas for the eigenvalues and eigenfunction.

Asymptotic formulas for eigenvalues and eigenfunctions of a new boundary-value-transmission problem