A dissipative singular Sturm-Liouville problem with a spectral parameter in the boundary condition

DOI10.1016/j.jmaa.2005.04.071zbMath1119.34023OpenAlexW2085646384MaRDI QIDQ819728

Bilender P. Allahverdiev

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.071

zbMATH Keywords

resolventboundary conditionsdilationmaximal dissipative operator.

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (16)

Regular fractional dissipative boundary value problems ⋮ Spectral analysis of a nonselfadjoint Schrödinger problem with eigenparameter in the boundary condition ⋮ Dissipative operators with impulsive conditions ⋮ Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition ⋮ Direct approach for the characteristic function of a dissipative operator with distributional potentials ⋮ A nonself-adjoint 1D singular Hamiltonian system with an eigenparameter in the boundary condition ⋮ On spectral properties of dissipative fourth order boundary-value problem with a spectral parameter in the boundary condition ⋮ Dissipative operator and its Cayley transform ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ A new method for dissipative dynamic operator with transmission conditions ⋮ Spectral analysis of \(q\)-Sturm-Liouville problem with the spectral parameter in the boundary condition ⋮ Spectral analysis of eigenparameter dependent boundary value transmission problems ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions ⋮ Unnamed Item ⋮ Some properties of eigenvalues and generalized eigenvectors of one boundary value problem ⋮ Differential operator equations with interface conditions in modified direct sum spaces

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