Lyapunov Type Inequalities for Second Order Forced Mixed Nonlinear Impulsive Differential Equations

dc.authorid Agarwal, Ravi P/0000-0003-0075-1704
dc.authorscopusid 36013313700
dc.authorscopusid 9434099700
dc.contributor.author Agarwal, Ravi P.
dc.contributor.author Ozbekler, Abdullah
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:29:23Z
dc.date.available 2024-07-05T14:29:23Z
dc.date.issued 2016
dc.department Atılım University en_US
dc.department-temp [Agarwal, Ravi P.; Ozbekler, Abdullah] Texas A&M Univ Kingsville, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USA; [Ozbekler, Abdullah] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description Agarwal, Ravi P/0000-0003-0075-1704 en_US
dc.description.abstract In this paper, we present some new Lyapunov and Hartman type inequalities for second order forced impulsive differential equations with mixed nonlinearities: x ''(t) + p(t)vertical bar x(t)vertical bar(beta-1)x(t) + q(t)vertical bar x(t)vertical bar(gamma-1)x(t) = f(t), t not equal theta(i); Delta x'(t) + p(i)vertical bar x(t)vertical bar(beta-1)x(t) + q(i)vertical bar x(t)vertical bar(gamma-1) x(t) = f(i), t = theta(i), where p, q, f are real-valued functions, {p(i)}, {q(i)}, {f(i)} are real sequences and 0 < gamma < 1 < beta < 2. No sign restrictions are imposed on the potential functions p, q and the forcing term f and the sequences {p(i)}, {q(i)}, {f(i)}. The inequalities obtained generalize and complement the existing results for the special cases of this equation in the literature. (C) 2016 Elsevier Inc. All rights reserved. en_US
dc.description.sponsorship TUBITAK (The Scientific and Technological Research Council of Turkey) en_US
dc.description.sponsorship This 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.citationcount 3
dc.identifier.doi 10.1016/j.amc.2016.02.015
dc.identifier.endpage 225 en_US
dc.identifier.issn 0096-3003
dc.identifier.issn 1873-5649
dc.identifier.scopus 2-s2.0-84959422202
dc.identifier.startpage 216 en_US
dc.identifier.uri https://doi.org/10.1016/j.amc.2016.02.015
dc.identifier.uri https://hdl.handle.net/20.500.14411/512
dc.identifier.volume 282 en_US
dc.identifier.wos WOS:000371878200017
dc.identifier.wosquality Q1
dc.institutionauthor Özbekler, Abdullah
dc.language.iso en en_US
dc.publisher Elsevier Science inc en_US
dc.relation.publicationcategory Diğer en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 2
dc.subject Lyapunov type inequality en_US
dc.subject Mixed nonlinear en_US
dc.subject Sub-linear en_US
dc.subject Super-linear en_US
dc.subject Forced en_US
dc.subject Impulse en_US
dc.title Lyapunov Type Inequalities for Second Order Forced Mixed Nonlinear Impulsive Differential Equations en_US
dc.type Review en_US
dc.wos.citedbyCount 2
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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