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Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition. (English) Zbl 1235.65083
Summary: A discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions.
##### MSC:
 65L15 Eigenvalue problems for ODE (numerical methods) 34B08 Parameter dependent boundary value problems for ODE 34K10 Boundary value problems for functional-differential equations
##### References:
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