Numerical solution of vector Sturm–Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter
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DOI: 10.1134/s0965542517090020
Abstract: A numerical-analytical iterative method is proposed for solving generalized self-adjoint regular vector Sturm–Liouville problems with Dirichlet boundary conditions. The method is based on eigenvalue (spectral) correction. The matrix coefficients of the equations are assumed to… read more here.
Keywords: sturm liouville; problems dirichlet; vector sturm; spectral parameter ... See more keywords
Müntz sturm-liouville problems: Theory and numerical experiments
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DOI: 10.1515/fca-2021-0034
Abstract: Abstract This paper presents two new classes of Müntz functions which are called Jacobi-Müntz functions of the first and second types. These newly generated functions satisfy in two self-adjoint fractional Sturm-Liouville problems and thus they… read more here.
Keywords: sturm liouville; two new; ntz sturm; problems theory ... See more keywords
Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity
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DOI: 10.3390/axioms12050479
Abstract: Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class of… read more here.
Keywords: sturm; class; liouville problems; sturm liouville ... See more keywords
Partial Inverse Sturm-Liouville Problems
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DOI: 10.3390/math11102408
Abstract: This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the… read more here.
Keywords: inverse problems; inverse sturm; partial inverse; liouville problems ... See more keywords
The Uniform Lipschitz Continuity of Eigenvalues of Sturm-Liouville Problems with Respect to the Weighted Function
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DOI: 10.3390/sym15040911
Abstract: The present paper is concerned with the uniform boundedness of the normalized eigenfunctions of Sturm–Liouville problems and shows that the sequence of eigenvalues is uniformly local Lipschitz continuous with respect to the weighted functions. read more here.
Keywords: liouville problems; uniform lipschitz; sturm liouville; respect weighted ... See more keywords