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dc.contributor.advisorManojlović, Jelena
dc.contributor.otherĐurčić, Dragan
dc.contributor.otherJovanović, Miljana D.
dc.contributor.otherKočinac, Ljubiša D. R.
dc.creatorKapešić, Aleksandra B.
dc.date.accessioned2021-09-29T11:05:44Z
dc.date.available2021-09-29T11:05:44Z
dc.date.issued2021-02-19
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=8235
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1732/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=33902089
dc.identifier.urihttps://nardus.mpn.gov.rs/handle/123456789/18560
dc.description.abstractIn this dissertation, differential equations of the fourth order, difference equation of second order and cyclic systems of difference equations of second order are considered. In particular, assuming that coefficients of fourth order differential equation of Emden-Fowler type are generalized regularly varying functions, complete information about the existence of all possible intermediate regularly varying solutions and their accurate asymptotic behavior at infinity are given. The second order difference equation of Thomas-Fermy type is discussed in the framework of discrete regular variation and its strongly increasing and strongly decreasing solutions are examined in detail. Necessary and sufficient conditions for the existence of these solutions, as well as their asymptotic representations, have been determined. The obtained results enabled the complete structure of a set of regularly varying solutions to be presented. Cyclic systems of difference equations are considered as a natural generalization of second order difference equations. A full characterization of the limit behavior of all positive solutions is established. In particular, the asymptotic behavior of intermediate, as well as strongly increasing and strongly decreasing solutions is analyzed under the assumption that coefficients of the systems are regularly varying sequences and exact asymptotic formulas are derived for all these types of solutions. Also, the conditions for the existence of all types of positive solutions have been obtained.en
dc.formatapplication/pdf
dc.languageen
dc.publisherУниверзитет у Нишу, Природно-математички факултетsr
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174007/RS//
dc.rightsopenAccessen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceУниверзитет у Нишуsr
dc.subjectregularly varying functions, regularly varying sequences, asymptotic behaviour of solutions, fourth order differential equation, nonlinear difference equations, systems of difference equationssr
dc.subjectpravilno promenljive funkcije, pravilno promenljivi nizovi, asimptotsko ponašanje rešenja, diferencijalne jednačine četvrtog reda, nelinearne diferencne jednačine, sistemi diferencnih jednačinaen
dc.titleAsymptotic representation of solutions of nonlinear differential and difference equations with regularly varying coefficientssr
dc.typedoctoralThesis
dc.rights.licenseBY-NC-ND
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/76397/Kapesic_Aleksandra_B.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/76398/Doctoral_thesis_11452.pdf
dc.identifier.rcubhttps://hdl.handle.net/21.15107/rcub_nardus_18560


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