Pregled bibliografske jedinice broj: 320615
Fractal oscillations for a class of second order linear differential equations of Euler type
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:
Mervan Pašić
(autor)
Citiraj ovu publikaciju:
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