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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:
65L15Eigenvalue problems for ODE (numerical methods)
34B08Parameter dependent boundary value problems for ODE
34K10Boundary value problems for functional-differential equations
References:
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[5]Bayramov, A.; Cạlısḳan, S.; Uslu, S.: Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument, Appl. math. Comput. 191, 592-600 (2007)
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