USLOVI EKSTREMUMA ZA JEDNU KLASU PROBLEMA OPTIMIZACIJE SA NEPREKIDNIM VREMENOM

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USLOVI EKSTREMUMA ZA JEDNU KLASU PROBLEMA OPTIMIZACIJE SA NEPREKIDNIM VREMENOM

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dc.contributor.advisor Marinković, Boban
dc.contributor.author Jović, Aleksandar
dc.date.accessioned 2021-11-01T16:42:51Z
dc.date.available 2021-11-01T16:42:51Z
dc.date.issued 2021-10
dc.identifier.uri http://hdl.handle.net/123456789/5298
dc.description.abstract The continuous-time programming problem consists in minimizing an integral functional, with phase constraints of different types. The subject of this doctoral dissertation is to establish extremum conditions as well as duality theorems for a class of convex and smooth continuous-time programming problems, with phase constraints of the inequality type. Unfortunately, some of the results in this field are not valid, which is confirmed in 2019. In this paper, new optimality conditions for the aforementioned class of problems are ob tained. The theorems of weak and strong duality are proved. The main tool for deriving these results is a new theorem of the alternative for a convex system of strict and nonstrict inequal ities in infinite dimensional spaces. In order to apply the aforementioned theorem, a suitable regularity condition must be satisfied. Some optimality conditions are obtained with additional constraint regularity qualification. Theoretical results are confirmed by practical examples. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2021-11-01T16:42:51Z No. of bitstreams: 1 A.Jovic_doktorska_disertacija.pdf: 1280945 bytes, checksum: d632b9b2991a432b8dfb9e4247ccf13d (MD5) en
dc.description.provenance Made available in DSpace on 2021-11-01T16:42:51Z (GMT). No. of bitstreams: 1 A.Jovic_doktorska_disertacija.pdf: 1280945 bytes, checksum: d632b9b2991a432b8dfb9e4247ccf13d (MD5) Previous issue date: 2021-10 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title USLOVI EKSTREMUMA ZA JEDNU KLASU PROBLEMA OPTIMIZACIJE SA NEPREKIDNIM VREMENOM en_US
mf.author.birth-date 1986-11-14
mf.author.birth-place Surdulica en_US
mf.author.birth-country Srbija en_US
mf.author.residence-state Srbija en_US
mf.author.citizenship Srpsko en_US
mf.author.nationality Srbin en_US
mf.subject.area Mathematics en_US
mf.subject.keywords Continuous-time programming problems, Nonlinear programming, Optimality con ditions, Necessary conditions, Sufficient conditions, Duality, Theorems of the alternative, Mul tiobjective continuous-time programming problems, Fractional continuous-time programming problems en_US
mf.subject.subarea Optimization en_US
mf.contributor.committee Marinković, Boban
mf.contributor.committee Dražić, Milan
mf.contributor.committee Savić, Aleksandar
mf.university.faculty Mathematical faculty en_US
mf.document.references 109 en_US
mf.document.pages 102 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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