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arxiv: 1307.0365 · v1 · pith:47VT4EOGnew · submitted 2013-06-26 · 🧮 math.CA

On spectral properties of a Sturm-Liouville problem with transmission conditions and eigenparameter dependent boundary conditions with retarded argument

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keywords conditionsargumentboundaryproblemretardedtransmissionasymptoticboundary-value
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In this work, we consider not only a discontinuous boundary-value problem with retarded argument and four supplementary transmission conditions at the two points of discontinuities but also, eigenparameter-dependent boundary conditions and obtain asymptotic formulas for the eigenvalues and corresponding eigenfunctions.

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