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Nonoscillatory solutions of half-linear Euler-type equation with n terms

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dc.title Nonoscillatory solutions of half-linear Euler-type equation with n terms en
dc.contributor.author Pátíková, Zuzana
dc.relation.ispartof Mathematical Methods in the Applied Sciences
dc.identifier.issn 0170-4214 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2020
utb.relation.volume 43
utb.relation.issue 13
dc.citation.spage 7615
dc.citation.epage 7622
dc.type article
dc.type conferenceObject
dc.language.iso en
dc.publisher John Wiley and Sons Ltd
dc.identifier.doi 10.1002/mma.5930
dc.relation.uri https://onlinelibrary.wiley.com/doi/full/10.1002/mma.5930
dc.subject asymptotic formulas en
dc.subject Euler equation en
dc.subject half-linear differential equation en
dc.subject nonoscillatory solution en
dc.subject perturbation en
dc.description.abstract We consider the half-linear Euler-type equation with n terms (Phi(x '))'+(gamma(p)/t(p) + Sigma(n-1)(j=1) mu(p)/t(p)Log(j)(2)t +mu/t(p)Log(n)(2)t)Phi(x)=0, Phi(x)=|x|(p-1)sgnx in the subcritical case when 0<mu<mu(p) and p>1. The solutions of this nonoscillatory equation cannot be found in an explicit form and can be studied only asymptotically. In this paper, with the use of the perturbation principle, modified Riccati technique, and the fixed point theorem, we establish an asymptotic formula for one of its solutions. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1009451
utb.identifier.obdid 43881263
utb.identifier.scopus 2-s2.0-85074976370
utb.identifier.wok 000496121800001
utb.identifier.coden MMSCD
utb.source J-wok
utb.source d-scopus
dc.date.accessioned 2019-11-29T14:47:23Z
dc.date.available 2019-11-29T14:47:23Z
utb.contributor.internalauthor Pátíková, Zuzana
utb.wos.affiliation [Patikova, Zuzana] Tomas Bata Univ Zlin, Dept Math, Fac Appl Informat, Nad Stranemi 4511, Zlin 76005, Czech Republic
utb.scopus.affiliation Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 760 05, Czech Republic
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