Regularization of two-term differential equations with singular coefficients by quasiderivatives

DOI10.1007/s11253-012-0584-6zbMath1261.47021OpenAlexW2020394432MaRDI QIDQ1759984

A. S. Goryunov, Vladimir A. Mikhailets

Publication date: 23 November 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0584-6

zbMATH Keywords

regularizationmaximal operatorssingular Sturm-Liouville problemselfadjoint extensionsmaximal dissipative extensionsmaximal accumulative extensionsminimal operatorsuniform resolvent approximation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear operators and ill-posed problems, regularization (47A52)

Related Items (11)

Convergence and approximation of the Sturm-Liouville operators with potentials-distributions ⋮ Two-term differential equations with matrix distributional coefficients ⋮ On the continuity in a parameter for the solutions of boundary-value problems total with respect to the spaces \(C^{(n+r)}[a, b\)] ⋮ On impulsive Sturm-Liouville operators with singularity and spectral parameter in boundary conditions ⋮ Limit theorems for one-dimensional boundary-value problems ⋮ Limit theorems for general one-dimensional boundary-value problems ⋮ Regular approximation of singular third-order differential operators ⋮ The solvability of inhomogeneous boundary-value problems in Sobolev spaces ⋮ Continuity of the solutions of one-dimensional boundary-value problems with respect to the parameter in the Slobodetskii spaces ⋮ Continuity of the solutions of one-dimensional boundary-value problems in Hölder spaces with respect to the parameter ⋮ Limit theorems for the solutions of boundary-value problems

Cites Work

• Limit theorems for one-dimensional boundary-value problems
• Formally self-adjoint quasidifferential operators
• Sturm-Liouville operators with singular potentials
• Regularization of binomial differential equations with singular coefficients
• Regularization of singular Sturm-Liouville equations
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
• Singularly perturbed periodic and semiperiodic differential operators
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