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Pregled bibliografske jedinice broj: 320615

Fractal oscillations for a class of second order linear differential equations of Euler type


Pašić, Mervan
Fractal oscillations for a class of second order linear differential equations of Euler type // Journal of Mathematical Analysis and Applications, 341 (2008), 1; 211-223 doi:10.1016/j.jmaa.2007.09.068 (međunarodna recenzija, članak, znanstveni)


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Naslov
Fractal oscillations for a class of second order linear differential equations of Euler type

Autori
Pašić, Mervan

Izvornik
Journal of Mathematical Analysis and Applications (0022-247X) 341 (2008), 1; 211-223

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
linear equations; oscillations; graph; rectifiability; unrectifiability; fractal

Sažetak
The s-dimensional fractal oscillations for continuous and smooth functions defined on an open bounded interval are introduced and studied. The main purpose of the paper is to establish this kind of oscillations for solutions of a class of second order linear differential equations of Euler type. Next, it will be shown that the dimensional number s only depends on a positive real parameter α appearing in a singular term of the main equation. It continues some recent results on the rectifiable and unrectifiable oscillations given in Pašić [M. Pašić, Rectifiable and unrectifiable oscillations for a class of second-order linear differential equations of Euler type, J. Math. Anal. Appl. 335 (2007) 724– 738] and Wong [J.S.W. Wong, On rectifiable oscillation of Euler type second order linear differential equations, Electron. J. Qual. Theory Differ. Equ. 20 (2007) 1– 12].

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
036-0361621-3012 - Napredne strategije upravljanja i estimacije u složenim sustavima (Perić, Nedjeljko, MZO ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Mervan Pašić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Pašić, Mervan
Fractal oscillations for a class of second order linear differential equations of Euler type // Journal of Mathematical Analysis and Applications, 341 (2008), 1; 211-223 doi:10.1016/j.jmaa.2007.09.068 (međunarodna recenzija, članak, znanstveni)
Pašić, M. (2008) Fractal oscillations for a class of second order linear differential equations of Euler type. Journal of Mathematical Analysis and Applications, 341 (1), 211-223 doi:10.1016/j.jmaa.2007.09.068.
@article{article, author = {Pa\v{s}i\'{c}, Mervan}, year = {2008}, pages = {211-223}, DOI = {10.1016/j.jmaa.2007.09.068}, keywords = {linear equations, oscillations, graph, rectifiability, unrectifiability, fractal}, journal = {Journal of Mathematical Analysis and Applications}, doi = {10.1016/j.jmaa.2007.09.068}, volume = {341}, number = {1}, issn = {0022-247X}, title = {Fractal oscillations for a class of second order linear differential equations of Euler type}, keyword = {linear equations, oscillations, graph, rectifiability, unrectifiability, fractal} }
@article{article, author = {Pa\v{s}i\'{c}, Mervan}, year = {2008}, pages = {211-223}, DOI = {10.1016/j.jmaa.2007.09.068}, keywords = {linear equations, oscillations, graph, rectifiability, unrectifiability, fractal}, journal = {Journal of Mathematical Analysis and Applications}, doi = {10.1016/j.jmaa.2007.09.068}, volume = {341}, number = {1}, issn = {0022-247X}, title = {Fractal oscillations for a class of second order linear differential equations of Euler type}, keyword = {linear equations, oscillations, graph, rectifiability, unrectifiability, fractal} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • Mathematical Reviews


Citati:





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