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Pregled bibliografske jedinice broj: 368069

Rectifiable oscillations in second-order half-linear differential equations

Pašić, Mervan; Wong, James S. W.
Rectifiable oscillations in second-order half-linear differential equations // Annali di matematica pura ed applicata, 188 (2009), 3; 517-541 doi:10.1007/s10231-008-0087-0 (međunarodna recenzija, članak, znanstveni)

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Naslov
Rectifiable oscillations in second-order half-linear differential equations

Autori
Pašić, Mervan ; Wong, James S. W.

Izvornik
Annali di matematica pura ed applicata (0373-3114) 188 (2009), 3; 517-541

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

Ključne riječi
oscillations; nonlinear equations; graph; rectifiability; fractal dimension; Minkowski content; asymptotics; perturbation

Sažetak
Second-order half-linear differential equation (H): on the finite interval I = (0, 1] will be studied, where , p > 1 and the coefficient f(x) > 0 on I, , and . In case when p = 2, the equation (H) reduces to the harmonic oscillator equation (P): y′ ′ + f(x)y = 0. In this paper, we study the oscillations of solutions of (H) with special attention to some geometric and fractal properties of the graph . We establish integral criteria necessary and sufficient for oscillatory solutions with graphs having finite and infinite arclength. In case when , λ > 0, α > p, we also determine the fractal dimension of the graph G(y) of the solution y(x). Finally, we study the L p nonintegrability of the derivative of all solutions of the equation (H).

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.springerlink.com

Citiraj ovu publikaciju:

Pašić, Mervan; Wong, James S. W.
Rectifiable oscillations in second-order half-linear differential equations // Annali di matematica pura ed applicata, 188 (2009), 3; 517-541 doi:10.1007/s10231-008-0087-0 (međunarodna recenzija, članak, znanstveni)
Pašić, M. & Wong, J. (2009) Rectifiable oscillations in second-order half-linear differential equations. Annali di matematica pura ed applicata, 188 (3), 517-541 doi:10.1007/s10231-008-0087-0.
@article{article, author = {Pa\v{s}i\'{c}, Mervan and Wong, James S. W.}, year = {2009}, pages = {517-541}, DOI = {10.1007/s10231-008-0087-0}, keywords = {oscillations, nonlinear equations, graph, rectifiability, fractal dimension, Minkowski content, asymptotics, perturbation}, journal = {Annali di matematica pura ed applicata}, doi = {10.1007/s10231-008-0087-0}, volume = {188}, number = {3}, issn = {0373-3114}, title = {Rectifiable oscillations in second-order half-linear differential equations}, keyword = {oscillations, nonlinear equations, graph, rectifiability, fractal dimension, Minkowski content, asymptotics, perturbation} }
@article{article, author = {Pa\v{s}i\'{c}, Mervan and Wong, James S. W.}, year = {2009}, pages = {517-541}, DOI = {10.1007/s10231-008-0087-0}, keywords = {oscillations, nonlinear equations, graph, rectifiability, fractal dimension, Minkowski content, asymptotics, perturbation}, journal = {Annali di matematica pura ed applicata}, doi = {10.1007/s10231-008-0087-0}, volume = {188}, number = {3}, issn = {0373-3114}, title = {Rectifiable oscillations in second-order half-linear differential equations}, keyword = {oscillations, nonlinear equations, graph, rectifiability, fractal dimension, Minkowski content, asymptotics, perturbation} }

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

Uključenost u ostale bibliografske baze podataka::


  • Zentrallblatt für Mathematik/Mathematical Abstracts

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