Lyapunov Type Inequalities for Second-Order Differential Equations With Mixed Nonlinearities
| dc.contributor.author | Agarwal,R.P. | |
| dc.contributor.author | Özbekler,A. | |
| dc.date.accessioned | 2024-07-05T15:44:41Z | |
| dc.date.available | 2024-07-05T15:44:41Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper,we present some new Lyapunov and Hartman type inequalities for second-order equations with mixed nonlinearities: x''(t) + p(t)|x(t)|β?1x(t) + q(t)|x(t)|y?1x(t) = 0, where p(t), q(t) are real-valued functions and 0 < γ < 1 < β < 2. No sign restrictions are imposed on the potential functions p(t) and q(t). The inequalities obtained generalize the existing results for the special cases of this equation in the literature. © 2016 by De Gruyter. | en_US |
| dc.identifier.doi | 10.1515/anly-2015-0002 | |
| dc.identifier.issn | 0174-4747 | |
| dc.identifier.issn | 2196-6753 | |
| dc.identifier.scopus | 2-s2.0-84995596331 | |
| dc.identifier.uri | https://doi.org/10.1515/anly-2015-0002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3811 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter GmbH | en_US |
| dc.relation.ispartof | Analysis (Germany) | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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.title | Lyapunov Type Inequalities for Second-Order Differential Equations With Mixed Nonlinearities | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Agarwal R.P., Department of Mathematics, Texas A and M University-Kingsville, 700 University Blvd., Kingsville, 78363-8202, TX, United States; Özbekler A., Department of Mathematics, Texas A and M University-Kingsville, 700 University Blvd., Kingsville, 78363-8202, TX, United States, Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey | en_US |
| gdc.description.endpage | 252 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 245 | en_US |
| gdc.description.volume | 36 | en_US |
| gdc.description.wosquality | Q3 | |
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| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | mixed nonlinear | |
| gdc.oaire.keywords | sub-linear | |
| gdc.oaire.keywords | super-linear | |
| gdc.oaire.keywords | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations | |
| gdc.oaire.keywords | Lyapunov type inequality | |
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| gdc.virtual.author | Özbekler, Abdullah | |
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