Lyapunov type inequalities and their applications for quasilinear impulsive systems

Lyapunov type inequalities and their applications for quasilinear impulsive systems

A novel Lyapunov-type inequality for Dirichlet problem associated with the quasilinear impulsive system involving the $(p_j, q_j) $-Laplacian operator for j=1,2 is obtained. Then utility of this new inequality is exemplified in finding disconjugacy criterion, obtaining lower bounds for associated ei...

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Main Author: Zeynep Kayar
Format: Article
Language:English
Published: Taylor & Francis Group 2019-12-01
Series:Journal of Taibah University for Science
Subjects:
lyapunov type inequality
impulse
quasilinear systems
Online Access:http://dx.doi.org/10.1080/16583655.2019.1625188
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spelling doaj-4648e7a3339c4d9bad8dea2591f7059b2020-11-25T00:55:07ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-0113171172110.1080/16583655.2019.16251881625188Lyapunov type inequalities and their applications for quasilinear impulsive systemsZeynep Kayar0Van Yuzuncu Yil UniversityA novel Lyapunov-type inequality for Dirichlet problem associated with the quasilinear impulsive system involving the $(p_j, q_j) $-Laplacian operator for j=1,2 is obtained. Then utility of this new inequality is exemplified in finding disconjugacy criterion, obtaining lower bounds for associated eigenvalue problems and investigating boundedness and asymptotic behaviour of oscillatory solutions. The effectiveness of the obtained disconjugacy criterion is illustrated via an example. Our results not only improve the recent related results but also generalize them to the impulsive case.http://dx.doi.org/10.1080/16583655.2019.1625188lyapunov type inequalityimpulsequasilinear systems
collection DOAJ
language English
format Article
sources DOAJ
author Zeynep Kayar
spellingShingle Zeynep Kayar
Lyapunov type inequalities and their applications for quasilinear impulsive systems
Journal of Taibah University for Science
lyapunov type inequality
impulse
quasilinear systems
author_facet Zeynep Kayar
author_sort Zeynep Kayar
title Lyapunov type inequalities and their applications for quasilinear impulsive systems
title_short Lyapunov type inequalities and their applications for quasilinear impulsive systems
title_full Lyapunov type inequalities and their applications for quasilinear impulsive systems
title_fullStr Lyapunov type inequalities and their applications for quasilinear impulsive systems
title_full_unstemmed Lyapunov type inequalities and their applications for quasilinear impulsive systems
title_sort lyapunov type inequalities and their applications for quasilinear impulsive systems
publisher Taylor & Francis Group
series Journal of Taibah University for Science
issn 1658-3655
publishDate 2019-12-01
description A novel Lyapunov-type inequality for Dirichlet problem associated with the quasilinear impulsive system involving the $(p_j, q_j) $-Laplacian operator for j=1,2 is obtained. Then utility of this new inequality is exemplified in finding disconjugacy criterion, obtaining lower bounds for associated eigenvalue problems and investigating boundedness and asymptotic behaviour of oscillatory solutions. The effectiveness of the obtained disconjugacy criterion is illustrated via an example. Our results not only improve the recent related results but also generalize them to the impulsive case.
topic lyapunov type inequality
impulse
quasilinear systems
url http://dx.doi.org/10.1080/16583655.2019.1625188
work_keys_str_mv AT zeynepkayar lyapunovtypeinequalitiesandtheirapplicationsforquasilinearimpulsivesystems
_version_ 1725231943955513344

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