Lyapunov Type Inequalities for Second Order Forced Mixed Nonlinear Impulsive Differential Equations
| dc.contributor.author | Agarwal, Ravi P. | |
| dc.contributor.author | Ozbekler, Abdullah | |
| dc.date.accessioned | 2024-07-05T14:29:23Z | |
| dc.date.available | 2024-07-05T14:29:23Z | |
| dc.date.issued | 2016 | |
| 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.doi | 10.1016/j.amc.2016.02.015 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-84959422202 | |
| 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.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| 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.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 |
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| gdc.author.id | Agarwal, Ravi P/0000-0003-0075-1704 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 225 | en_US |
| gdc.description.publicationcategory | Diğer | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 216 | en_US |
| gdc.description.volume | 282 | en_US |
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| gdc.oaire.keywords | mixed nonlinear | |
| gdc.oaire.keywords | forced | |
| gdc.oaire.keywords | Differential inequalities involving functions of a single real variable | |
| gdc.oaire.keywords | sub-linear | |
| gdc.oaire.keywords | super-linear | |
| gdc.oaire.keywords | Ordinary differential equations with impulses | |
| gdc.oaire.keywords | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations | |
| gdc.oaire.keywords | Lyapunov type inequality | |
| gdc.oaire.keywords | impulse | |
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| gdc.virtual.author | Özbekler, Abdullah | |
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