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master's thesis
Integralne jednadžbe i primjene
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:994925
Frančešević, Helena
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Frančešević, H. (2015). Integralne jednadžbe i primjene (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:994925

Frančešević, Helena. "Integralne jednadžbe i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:994925

Frančešević, Helena. "Integralne jednadžbe i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:994925

Frančešević, H. (2015). 'Integralne jednadžbe i primjene', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:994925

Frančešević H. Integralne jednadžbe i primjene [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:994925

H. Frančešević, "Integralne jednadžbe i primjene", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:994925

Metadata
TitleIntegralne jednadžbe i primjene
AuthorHelena Frančešević
MentorIgor Pažanin (mentor)
Committee memberIgor Pažanin (predsjednik povjerenstva)
Committee memberEduard Marušić-Paloka (član povjerenstva)
Committee memberFilip Najman (član povjerenstva)
Committee memberTina Bosner (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu bavimo se integralnim jednadžbama i njihovim primjenama. Integralne jednadžbe su jednadžbe kod kojih se nepoznata funkcija, koju trebamo odrediti, pojavljuje pod znakom integrala. Integralne jednadžbe su jedan od korisnijih matematičkih alata u teoretskoj i primijenjenoj matematici te imaju značajnu primjenu u mnogim fizikalnim problemima. Rad se sastoji od četiri poglavlja. U Poglavlju 1 bavimo se konceptom integralnih jednadžbi, njihovom povijesnom pozadinom te donosimo njihovu klasifikaciju. U Poglavlju 2 obratili smo posebnu pozornost na Volterrine integralne jednadžbe i različite metode njihovog rješavanja. U Poglavlju 3 fokusirali smo se na Fredholmove integralne jednadžbe i pripadajuće tehnike rješavanja. U posljednjem, Poglavlju 4 kao dodatak obradili smo Laplaceove transformacije i osnovna svojstva koja smo primjenjivali u glavnom dijelu rada.
Abstract (english)
In this work we deal with the integral equations and their applications. Integral equation is an equation in which the unknown function to be determined appear under the integral sign. Integral equations are one of the most useful mathematical tools in pure and applied mathematics, and are widely used in many physical problems. This work contains four chapters. In Chapter 1 we deal with the concept of integral equations, its historical background and classification. In Chapter 2 we have paid special attention to Volterra integral equations and the corresponding solving techniques. In chapter 3 we focused on the Fredholm integral equation and different solution methods. In the last, fourth, chapter written as a supplement we introduced Laplace transformations, and its basic properties that we applied in the main part of the work.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:994925
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-01-22 12:05:39