Lyapunov type inequalities for second-order forced dynamic equations with mixed nonlinearities on time scales

Basit Öğe Kaydı
dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorCetin, Erbil
dc.contributor.authorOzbekler, Abdullah
dc.date.accessioned2019-10-27T11:22:55Z
dc.date.available2019-10-27T11:22:55Z
dc.date.issued2017
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this paper, we present some newHartman and Lyapunov inequalities for second-order forced dynamic equations on time scales T with mixed nonlinearities: x(Delta Delta)(t) + Sigma(n)(k=1) qk (t)vertical bar x(sigma) (t)vertical bar (alpha k-1) x(sigma) (t) = f (t); t is an element of [t(0), infinity)(T), where the nonlinearities satisfy 0 < alpha(1) < ... < alpha(m) < 1 < alpha(m+1) < ... < alpha(n) < 2. No sign restrictions are imposed on the potentials qk, k = 1, 2, ... , n, and the forcing term f. The inequalities obtained generalize and compliment the existing results for the special cases of this equation in the literature.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThis work was carried out when the second and third authors were on academic leave, visiting TAMUK (Texas A&M University-Kingsville) and they wish to thank TAMUK. This work is partially supported by TUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.1007/s13398-016-0290-6
dc.identifier.endpage246en_US
dc.identifier.issn1578-7303
dc.identifier.issn1579-1505
dc.identifier.issn1578-7303en_US
dc.identifier.issn1579-1505en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage231en_US
dc.identifier.urihttps://doi.org/10.1007/s13398-016-0290-6
dc.identifier.urihttps://hdl.handle.net/11454/33102
dc.identifier.volume111en_US
dc.identifier.wosWOS:000392320300020en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Italia Srlen_US
dc.relation.ispartofRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTime scaleen_US
dc.subjectLyapunov inequalityen_US
dc.subjectForceden_US
dc.subjectMixed nonlinearen_US
dc.subjectSub-linearen_US
dc.subjectSuper-linearen_US
dc.titleLyapunov type inequalities for second-order forced dynamic equations with mixed nonlinearities on time scalesen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu