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undergraduate thesis
Laplaceova transformacija
2020. urn:nbn:hr:126:710623
Mihalčić, Dominik
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group

Cite this document

Mihalčić, D. (2020). Laplaceova transformacija (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:710623

Mihalčić, Dominik. "Laplaceova transformacija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:710623

Mihalčić, Dominik. "Laplaceova transformacija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:710623

Mihalčić, D. (2020). 'Laplaceova transformacija', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 February 2021, https://urn.nsk.hr/urn:nbn:hr:126:710623

Mihalčić D. Laplaceova transformacija [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2021 February 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:710623

D. Mihalčić, "Laplaceova transformacija", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:710623

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Metadata
TitleLaplaceova transformacija
Title (english)Laplace Transform
AuthorDominik Mihalčić
MentorKrešimir Burazin (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Algebra and Calculus Research Group)
Osijek
Defense date and country2020-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom radu upoznat ćemo se s Laplaceovom transformacijom i njenim osnovnim svojstvima. Vidjet ćemo na kakve funkcije je primjenjiva i kako se računa Laplaceova transformacija nekih funkcija. Navest ćemo teoreme koji opisuju njeno djelovanje na derivaciju i integral funkcije te ćemo vidjeti kako pomoću nje odrediti granično ponašanje funkcije. Analizirat ćemo inverznu Laplaceovu transformaciju i upoznati neke metode njezinog određivanja, gdje ćemo se susresti s kompleksnom inverznom formulom. Na krajućemo navesti neke od primjena Laplaceove transformacije u matematici. Konkretnije, vidjet ćemo kako se pomoću nje rješavaju diferencijalne (obične i parcijalne) te integralne jednadžbe.
Abstract (english)
In this paper we will be introduced to Laplace transform and its basic properties. We will see to which functions it applies and how Laplace transform of some functions is determined. Theorems that describe its application to derivative and integral of a function will be stated. Also, it will be shown how to determine limiting values of a given function. We will analyse the inverse Laplace transform and introduce some methods of its determination, one of which is complex inversion formula. In the nal chapter some applications of Laplace transform in mathematics will be stated. More specically, it will be shown how to solve dierential (ordinary and partial) and integral equations
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:710623
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-10-30 06:52:30