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arxiv: 1710.07189 · v1 · pith:WA2IYXEFnew · submitted 2017-10-06 · 🧮 math.CA

Spectrum, trace and oscillation of a Sturm-Liouville type retarded differential operator with interface conditions

classification 🧮 math.CA
keywords oscillationproblemretardedsturm-liouvilleargumentconditionsdifferentialdiscontinuity
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In this study, a formula for regularized sums of eigenvalues of a Sturm-Liouville problem with retarded argument at the point of discontinuity is obtained. Moreover, oscillation properties of the related problem is investigated.

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