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S. Gould (1966)
Variational Methods for Eigenvalue Problems: An Introduction to the Weinstein Method of Intermediate Problems
Jonathan Eckhardt, F. Gesztesy, Roger Nichols, G. Teschl
Institute for Mathematical Physics Weyl–titchmarsh Theory for Sturm–liouville Operators with Distributional Coefficients Weyl–titchmarsh Theory for Sturm–liouville Operators with Distributional Coefficients
J. Eckhardt, F. Gesztesy, R. Nichols, G. Teschl (2013)
Weyl–Titchmarsh theory for Sturm–Liouville operators with distributional potentialsOpuscula Math., 33
B. Kanguzhin, N. Tokmagambetov (2016)
Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domainSiberian Mathematical Journal, 57
A. Savchuk, A. Shkalikov (1999)
Sturm-liouville operators with singular potentialsMathematical Notes, 66
A. Savchuk, A. Shkalikov (2001)
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A connection between the spectrum of a differential operator with symmetric coefficients and the boundary conditions
A.M. Savchuk, A.A. Shkalikov (2003)
Sturm–Liouville operator with distribution potentialsTrans. Moscow Math. Soc., 2003
B. Kanguzhin, N. Tokmagambetov (2015)
On regularized trace formulas for a well-posed perturbation of the m-Laplace operatorDifferential Equations, 51
B. Kanguzhin, N. Tokmagambetov (2015)
A regularized trace formula for a well-perturbed Laplace operatorDoklady Mathematics, 91
The transverse vibrations of a string with additional restrictions in the form of elastic point constraints are studied. In contrast toWeinstein’s original approach, the constraints are not represented as orthogonality-type conditions in the case under study. Nevertheless, it is shown that the main results of Weinstein’s theory remain valid. It is also shown that the string rigidity coefficients can uniquely be reconstructed from the first-order regularized traces of the corresponding operators. This permits one to give a physical interpretation of regularized traces.
Differential Equations – Springer Journals
Published: Apr 23, 2018
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