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Nonoscillation of half-linear dynamic equations
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SYSNO ASEP 0346699 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Nonoscillation of half-linear dynamic equations Tvůrce(i) Matucci, S. (IT)
Řehák, Pavel (MU-W) RID, SAI, ORCIDZdroj.dok. Computers & Mathematics With Applications. - : Elsevier - ISSN 0898-1221
Roč. 60, č. 5 (2010), s. 1421-1429Poč.str. 9 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova half-linear dynamic equation ; time scale ; (non)oscillation ; Riccati technique Vědní obor RIV BA - Obecná matematika CEP KJB100190701 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000281340600031 EID SCOPUS 78049309346 DOI 10.1016/j.camwa.2010.06.024 Anotace The half-linear dynamic equation on time scales is here considered, under the condition . Two new characterizations of nonoscillation to this equation are provided, namely in terms of solvability to a related weighted integral Riccati type inequality and in terms of the convergence of a certain function sequence involving the coefficients r and p. These relations are then applied to obtain new oscillation criteria and a comparison theorem, which extend the results known from the continuous or the linear case. The results are new even in the well-studied difference equation setting. A basic classification of nonoscillatory solutions to the equation is also presented. The paper is concluded by indicating some directions for a future research. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
Počet záznamů: 1