Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II

From MaRDI portal
Publication:1860439

DOI10.1016/S0377-0427(02)00579-4zbMath1019.34028OpenAlexW2031094851MaRDI QIDQ1860439

Patrick J. Browne, Bruce Alastair Watson, Paul A. Binding

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00579-4




Related Items (75)

Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditionsA discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameterInverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameterEigenvalue problem associated with the fourth order differential-operator equationThe finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditionsSpectral properties of Sturm–Liouville system with eigenvalue-dependent boundary conditionsDiscrete Sturm-Liouville problems with nonlinear parameter in the boundary conditionsAsymptotic behaviour of eigenvalues and eigenfunctions of a Sturm-Liouville problem with retarded argumentOn Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type functionHalf-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameterThe finite spectrum of Sturm-Liouville problems with transmission conditions and eigenparameter-dependent boundary conditionsThe spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximationA singular Sturm-Liouville problem with limit circle endpoint and boundary conditions rationally dependent on the eigenparameterFinite spectrum of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scalesSpectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditionsNumerical technique for the inverse resonance problemRecovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problemsSpectral asymptotics of self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditionsA class of second-order differential operators with eigenparameter-dependent boundary and transmission conditionsElliptic boundary value problems with \(\lambda \)-dependent boundary conditionsDependence of eigenvalues of Sturm-Liouville problems with eigenparameter dependent boundary conditionsIntegral characteristic function of a nonlinear Sturm-Liouville problemEigenvalues of a class of eigenparameter dependent third-order differential operatorsEigenvalues of Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditionsSolving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditionsEigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary conditionFinite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameterDependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditionsMatrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditionsOn the Hochstadt-Lieberman type problem with eigenparameter dependent boundary conditionUniqueness of solution to inverse Dirac spectral problems associated with incomplete spectral dataA generalized discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameterDiscontinuous boundary value problems with retarded argument and eigenparameter-dependent boundary conditionsAn inverse three spectra problem for parameter-dependent and jumps conformable Sturm-Liouville operatorsNumerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc methodUnnamed ItemTransformations of difference equations. IUnnamed ItemResolvent operator and self-adjointness of Sturm-Liouville operators with a finite number of transmission conditionsEigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operatorSinc-regularized techniques to compute eigenvalues of Schrödinger operators on \(L^2(I)\oplus \mathbb{C}^2\)Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditionsOn the uniqueness of inverse spectral problems associated with incomplete spectral dataApproximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditionsInverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuitiesNon-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameterDiscontinuous Sturm-Liouville problems with eigenvalue dependent boundary conditionHierarchies of difference boundary value problemsSpectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameterEigenvalue problems for Sturm-Liouville equations with transmission conditionsGreen function of fourth-order differential operator with eigenparameter-dependent boundary and transmission conditionsA Half-Inverse Problem with Eigenparameter Dependent Boundary ConditionsSinc approximation of eigenvalues of Sturm-Liouville problems with a Gaussian multiplierDiscontinuous Sturm-Liouville problems with eigenparameter-dependent boundary and transmissions conditionsProperties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial loadSturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulationSturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: eigenvalue asymptoticsAmbarzumyan‐type theorem with polynomially dependent eigenparameterEigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditionsOn a class of inverse Sturm-Liouville problems with eigenparameter-dependent boundary conditionsOn discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditionsInverse spectral problem for non-selfadjoint Dirac operator with boundary and jump conditions dependent on the spectral parameterDISCONTINUOUS STURM-LIOUVILLE PROBLEMS INVOLVING AN ABSTRACT LINEAR OPERATORAn inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary conditionThree-spectra inverse problems for Sturm-Liouville problems with transmission conditionsSchrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameterSpectral singularities of Sturm-Liouville problems with eigenvalue-dependent boundary conditionsInverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson typeEssentially isospectral transformations and their applicationsOn inverse nodal problem and multiplicities of eigenvalues of a vectorial Sturm-Liouville problemEigenvalues of Sturm-Liouville problems with distribution potentials on time scalesSturm-Liouville problems with boundary conditions depending quadratically on the eigenparam\-eterOn Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary ConditionsFinite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral ParameterA new type Sturm-Liouville problem with an abstract linear operator contained in the equation



Cites Work


This page was built for publication: Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II