Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises

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dc.contributor.authorFavini, Angelo
dc.contributor.authorZagrebina, Sophiya
dc.contributor.authorSviridyuk, Georgy
dc.date.accessioned2022-02-14T20:29:42Z
dc.date.available2022-02-14T20:29:42Z
dc.date.issued2018-06-19
dc.description.abstractWe prove the existence of a unique solution for a linear stochastic Sobolev-type equation with a relatively p-bounded operator and a multipoint initial-final condition, in the space of ``noises''. We apply the abstract results to specific multipoint initial-final and boundary value problems for the linear Hoff equation which models I-beam bulging under random load.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFavini, A., Zagrebina, S. A., & Sviridyuk, G. A. (2018). Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises. <i>Electronic Journal of Differential Equations, 2018</i>(128), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15328
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDynamical Sobolev-type equation
dc.subjectWiener K-process
dc.subjectMultipoint initial-final conditions
dc.subjectNelson-Gliklikh derivative;white noise
dc.subjectSpace of noises
dc.subjectStochastic Hoff equation
dc.titleMultipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises
dc.typeArticle

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