Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/26335
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dc.contributor.advisorPilipović Stevan-
dc.contributor.authorSeleši Dora-
dc.contributor.otherNedeljkov Marko-
dc.contributor.otherRajter-Ćirić Danijela-
dc.contributor.otherLozanov-Crvenković Zagorka-
dc.contributor.otherObergugenberger Michael-
dc.contributor.otherPilipović Stevan-
dc.date.accessioned2020-12-13T20:36:49Z-
dc.date.available2020-12-13T20:36:49Z-
dc.date.issued2007-06-15-
dc.identifier.urihttps://open.uns.ac.rs/handle/123456789/26335-
dc.description.abstract<p>Doktorska disertacija je posvećena raznim klasama uop&scaron;tenih stohastičkih procesa i njihovim primenama na re&scaron;avanje singularnih stohastičkih parcijalnih diferencijalnih jednačina. U osnovi, disertacija se može podeliti na dva dela. Prvi deo disertacije (Glava 2) je posvećen strukturnoj karakterizaciji uop&scaron;tenih stohastičkih procesa u vidu haos ekspanzije i integralne reprezentacije. Drugi deo disertacije (Glava 3) čini primena dobijenih rezultata na re&middot;savanje stohastičkog Dirihleovog problema u kojem se množenje modelira Vikovim proizvodom, a koefcijenti eliptičnog diferencijalnog operatora su Kolomboovi uop&scaron;teni stohastički procesi.</p>sr
dc.description.abstract<p>Subject of the dissertation are various classes of generalized<br />stochastic processes and their applications to solving singular stochastic<br />partial di&reg;erential equations. Basically, the dissertation can be divided into<br />two parts. The &macr;rst part (Chapter 2) is devoted to structural characteri-<br />zations of generalized random processes in terms of chaos expansions and<br />integral representations. The second part of the dissertation (Chapter 3)<br />involves applications of the obtained results to solving a stochastic Dirichlet<br />problem, where multiplication is modeled by the Wick product, and the<br />coe&plusmn;cients of the elliptic di&reg;erential operator are Colombeau generalized<br />random processes.</p>en
dc.language.isosr (latin script)-
dc.publisherUniverzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadusr
dc.publisherUniversity of Novi Sad, Faculty of Sciences at Novi Saden
dc.sourceCRIS UNS-
dc.source.urihttp://cris.uns.ac.rs-
dc.subjectGeneralized random processes, white noise,Brownian motion, chaos expansion, Wick product, distributions, Colombeaualgebras, regularization, stochastic di®erential equations, Sobolev spaces,Kondratiev spaces, Zemanian spaces, Hilbert spaces, linear elliptic di®eren-tial operator, Dirichlet problem, Fourier transformationen
dc.subjectUop·steni stohasti·cki procesi, beli·sum, Braunovo kretanje, haos ekspanzija, Vikov proizvod, distribucije,Kolomboove algebre, regularizacija, stohasti·cke diferencijalne jedna·cine,prostori Soboljeva, prostori Kondratieva, prostori Zemaniana, Hilbertoviprostori, linearni elipti·cki diferencijalni operator, Dirihleov problem, Furi-jeova transformacijasr
dc.titleGeneralized Stochastic Processes in Infinite Dimensional Spaces with Applications to Singular Stochastic Partial Differential Equationsen
dc.titleUopšteni stohastički procesi u beskonačno-dimenzionalnim prostorima sa primenama na singularne stohastičke parcijalne diferencijalne jednačinesr
dc.typeThesisen
dc.identifier.urlhttps://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159067231289164.pdf?controlNumber=(BISIS)6018&fileName=159067231289164.pdf&id=15514&source=BEOPEN&language=enen
dc.identifier.urlhttps://www.cris.uns.ac.rs/record.jsf?recordId=6018&source=BEOPEN&language=enen
dc.identifier.externalcrisreference(BISIS)6018-
dc.source.institutionPrirodno-matematički fakultet u Novom Sadusr
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.deptPrirodno-matematički fakultet, Departman za matematiku i informatiku-
crisitem.author.orcid0000-0003-2261-0590-
crisitem.author.parentorgPrirodno-matematički fakultet-
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