Applications of Otelbaev's Abstract Theorem to singular ODES

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dc.contributor.authorZhumabayeva A.
dc.date.accessioned2026-10-29T05:18:41Z
dc.date.available2026-10-29T05:18:41Z
dc.date.issued2026
dc.description.abstractThis research focuses on analyzing well-posedness of a singular hyperbolic equation with time-varying coefficients, defined on a multidimensional cylindrical domain. Using the spectral decomposition method, the original problem was reduced to a family of one-dimensional singular differential equations. Furthermore, a comprehensive matrix representation of all regular regular boundary conditions is derived through the M. Otelbaev’s abstract theorem and the Riesz theorem. Finally, the existence and uniqueness of the solution for the original two-dimensional equation is established in the within weighted Sobolev space.
dc.identifier.citationZhumabayeva A / Applications of Otelbaev's Abstract Theorem to singular ODES / SDU University / Department of Mathematics and Natural Sciences
dc.identifier.urihttps://repository.sdu.edu.kz/handle/123456789/2700
dc.language.isoen
dc.publisherSDU University
dc.subjectSingular equation
dc.subjectSobolev Regularity for the Singular ODE
dc.subjectDegenerate Hyperbolic Equation
dc.titleApplications of Otelbaev's Abstract Theorem to singular ODES
dc.typeThesis

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