Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs
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DOI: 10.1007/s00025-020-1165-x
Abstract: In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the… read more here.
Keywords: sturm liouville; frozen argument; operators frozen; star graphs ... See more keywords
On self-adjoint boundary conditions for singular Sturm–Liouville operators bounded from below
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DOI: 10.1016/j.jde.2020.05.005
Abstract: We extend the classical boundary values \begin{align*} & g(a) = - W(u_{a}(\lambda_0,.), g)(a) = \lim_{x \downarrow a} \frac{g(x)}{\hat u_{a}(\lambda_0,x)}, \\ &g^{[1]}(a) = (p g')(a) = W(\hat u_{a}(\lambda_0,.), g)(a) = \lim_{x \downarrow a} \frac{g(x) - g(a)… read more here.
Keywords: liouville operators; sturm liouville; self adjoint; hat lambda ... See more keywords
Inverse problem for Sturm-Liouville operators on a curve
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DOI: 10.5556/j.tkjm.50.2019.3368
Abstract: he inverse spectral problem for the Sturm-Liouville equation with a piecewise-entire potential function and the discontinuity conditions for solutions on a rectifiable curve \(\gamma \subset \textbf{C}\) by the transfer matrix along this curve is studied.… read more here.
Keywords: sturm liouville; inverse problem; problem; liouville operators ... See more keywords