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Asymptotic formulae for solutions of half-linear differential equations
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SYSNO ASEP 0461884 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Asymptotic formulae for solutions of half-linear differential equations Tvůrce(i) Řehák, Pavel (MU-W) RID, SAI, ORCID Zdroj.dok. Applied Mathematics and Computation. - : Elsevier - ISSN 0096-3003
Roč. 292, January (2017), s. 165-177Poč.str. 13 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova half-linear differential equation ; nonoscillatory solution ; regular variation Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Institucionální podpora MU-W - RVO:67985840 UT WOS 000384397400016 EID SCOPUS 84980417597 DOI 10.1016/j.amc.2016.07.020 Anotace We establish asymptotic formulae for regularly varying solutions of the half-linear differential equation ..., where r, p are positive continuous functions on ... and ... The results can be understood in several ways: Some open problems posed in the literature are solved. Results for linear differential equations are generalized: some of the observations are new even in the linear case. A refinement on information about behavior of solutions in standard asymptotic classes is provided. A precise description of regularly varying solutions which are known to exist is given. Regular variation of all positive solutions is proved. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
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