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Information × Registration Number 0218U001863, 0117U003482 , R & D reports Title New methods of analysis for one-dimensional boundary value problems popup.stage_title Апроксимацiя і коапроксимація диференцiальних операторів з узагальненими функцiями в коефіцієнтах та операторів тотальних крайових задач Head Goriunov Andrii Serhiiovych, Registration Date 12-12-2018 Organization Institute of mathematics NAS of Ukraine popup.description2 A widest class of linear boundary value problems for systems of ordinary differential equations with solutions from a complex Holder space is investigated. A constructive criterion of continuous parameter dependence in this space is obtained. Also error and residual of solution are proved to have the same order. On the finite inteval Sturm-Liouville differential expression with singular coefficients is considered. Corresponding operators are correctly defined as quasi-differential. The conditions for the minimal operator to be symmetric are found and its self-adjoint, maximal dissipative and maximal accumulative extensions are descrbed in terms of boundary conditions. Product Description popup.authors Солдатов Віталій Олександрович popup.nrat_date 2020-04-02 Close
R & D report
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Head: Goriunov Andrii Serhiiovych. New methods of analysis for one-dimensional boundary value problems. (popup.stage: Апроксимацiя і коапроксимація диференцiальних операторів з узагальненими функцiями в коефіцієнтах та операторів тотальних крайових задач). Institute of mathematics NAS of Ukraine. № 0218U001863
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Updated: 2026-03-23