Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/26335
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Pilipović Stevan | - |
dc.contributor.author | Seleši Dora | - |
dc.contributor.other | Nedeljkov Marko | - |
dc.contributor.other | Rajter-Ćirić Danijela | - |
dc.contributor.other | Lozanov-Crvenković Zagorka | - |
dc.contributor.other | Obergugenberger Michael | - |
dc.contributor.other | Pilipović Stevan | - |
dc.date.accessioned | 2020-12-13T20:36:49Z | - |
dc.date.available | 2020-12-13T20:36:49Z | - |
dc.date.issued | 2007-06-15 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/26335 | - |
dc.description.abstract | <p>Doktorska disertacija je posvećena raznim klasama uopštenih stohastičkih procesa i njihovim primenama na rešavanje singularnih stohastičkih parcijalnih diferencijalnih jednačina. U osnovi, disertacija se može podeliti na dva dela. Prvi deo disertacije (Glava 2) je posvećen strukturnoj karakterizaciji uopštenih stohastičkih procesa u vidu haos ekspanzije i integralne reprezentacije. Drugi deo disertacije (Glava 3) čini primena dobijenih rezultata na re·savanje stohastičkog Dirihleovog problema u kojem se množenje modelira Vikovim proizvodom, a koefcijenti eliptičnog diferencijalnog operatora su Kolomboovi uopšteni 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®erential equations. Basically, the dissertation can be divided into<br />two parts. The ¯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±cients of the elliptic di®erential operator are Colombeau generalized<br />random processes.</p> | en |
dc.language.iso | sr (latin script) | - |
dc.publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu | sr |
dc.publisher | University of Novi Sad, Faculty of Sciences at Novi Sad | en |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.subject | Generalized 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 transformation | en |
dc.subject | Uop·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 transformacija | sr |
dc.title | Generalized Stochastic Processes in Infinite Dimensional Spaces with Applications to Singular Stochastic Partial Differential Equations | en |
dc.title | Uopšteni stohastički procesi u beskonačno-dimenzionalnim prostorima sa primenama na singularne stohastičke parcijalne diferencijalne jednačine | sr |
dc.type | Thesis | en |
dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159067231289164.pdf?controlNumber=(BISIS)6018&fileName=159067231289164.pdf&id=15514&source=BEOPEN&language=en | en |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=6018&source=BEOPEN&language=en | en |
dc.identifier.externalcrisreference | (BISIS)6018 | - |
dc.source.institution | Prirodno-matematički fakultet u Novom Sadu | sr |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0003-2261-0590 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Teze/Theses |
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