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Positive operator semigroups : from finite to infinite dimensionsBátkai, András ; Kramar Fijavž, Marjeta ; Rhandi, AbdelazizKnjiga je enostaven in sodoben uvod v teorijo operatorskih polgrup (ali linearnih dinamičnih sistemov), s katero lahko uspešno opišemo dinamiko zapletenih pojavov v različnih primerih iz uporabe. ... Pozitivnost je pogosto naravna predpostavka v fizikalnih, kemijskih, bioloških ali ekonomskih procesih. S to predpostavko dobimo lepo in bogato matematično strukturo dinamičnih sistemov in operatorjev, ki te procese opisujejo. V prvem delu je predstavljena končno-razsežna teorija z brez-koordinatnim pristopom, ki ga je sicer v literaturi težko najti. Tako so prikazane osnovne ideje Perron-Frobeniusove teorije na enak način kot kasneje v neskončnih razsežnostih. Obravnavani so nekateri osnovni primeri uporabe za matrike v teoriji grafov, populacijskih in ekonomskih modelih. Neskončno razsežna teorija pozitivnih operatorskih polgrup skupaj s spektralno in asimptotsko teorijo je razvita v drugem delu knjige. Na koncu teorijo ponazorijo zahtevnejši primeri kot npr. populacijske enačba, teorija transporta nevronov, diferencialne enačbe z zakasnitvijo in pretoki v omrežjih. Vsako poglavje je opremljeno z nalogami. Bralcu sta v pomoč bogat seznam sodobne bibliografije in natančno stvarno kazalo. Knjiga je v prvi vrsti namenjena podiplomskim študentom, pri čemer je prvi del primeren tudi za napredne študente prve stopnje s solidnim znanjem osnovne analize in linearne algebre.Type of material - scientific monograph ; adult, seriousPublication and manufacture - [Basel] : Birkhäuser, cop. 2017Language - englishISBN - 978-3-319-42811-6COBISS.SI-ID - 17812569
Author
Bátkai, András |
Kramar Fijavž, Marjeta |
Rhandi, Abdelaziz
Collection
Operator theory
Topics
operatorske polgrupe |
pozitivnost |
Peron-Frobeniusova teorija |
evolucijske enačbe |
asimptotsko obnašanje |
operator semigroups |
positivity |
Perron-Frobenius theory |
evolution equations |
asymptotic behavior
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Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
outside loan 2 cop.
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Faculty of Civil and Geodetic Engineering, Ljubljana | Ljubljana | FGGLJ |
outside loan 1 cop.
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National and University Library, Ljubljana | Ljubljana | NUK |
reading room 1 cop.
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Year | Impact factor | Edition | Category | Classification | ||||
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Bátkai, András | ![]() |
Kramar Fijavž, Marjeta | 20037 |
Rhandi, Abdelaziz | ![]() |
Source: Personal bibliographies
and: SICRIS
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