Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian
This paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian. The Leighton–Wintner type oscillation criteria are established without any conditions on the limit of $p(t)$. In addition, we...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10929 |
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| _version_ | 1841533466950238208 |
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| author | Kōdai Fujimoto Masakazu Onitsuka |
| author_facet | Kōdai Fujimoto Masakazu Onitsuka |
| author_sort | Kōdai Fujimoto |
| collection | DOAJ |
| description | This paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian. The Leighton–Wintner type oscillation criteria are established without any conditions on the limit of $p(t)$. In addition, we discuss the applications to partial differential equations. Some examples are given to illustrate our results. |
| format | Article |
| id | doaj-art-1cc000ff423a45deabaaa041b1949d26 |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-1cc000ff423a45deabaaa041b1949d262025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-04-012024191910.14232/ejqtde.2024.1.1910929Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-LaplacianKōdai Fujimoto0Masakazu OnitsukaInstitute of Science and Engineering, Academic Assembly, Shimane University, Matsue, JapanThis paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian. The Leighton–Wintner type oscillation criteria are established without any conditions on the limit of $p(t)$. In addition, we discuss the applications to partial differential equations. Some examples are given to illustrate our results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10929oscillationsecond-order differential equation$p(t)$-laplacianquasilinear differential equationemden–fowler differential equationriccati technique |
| spellingShingle | Kōdai Fujimoto Masakazu Onitsuka Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian Electronic Journal of Qualitative Theory of Differential Equations oscillation second-order differential equation $p(t)$-laplacian quasilinear differential equation emden–fowler differential equation riccati technique |
| title | Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian |
| title_full | Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian |
| title_fullStr | Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian |
| title_full_unstemmed | Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian |
| title_short | Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian |
| title_sort | leighton wintner type oscillation criteria for second order differential equations with p t laplacian |
| topic | oscillation second-order differential equation $p(t)$-laplacian quasilinear differential equation emden–fowler differential equation riccati technique |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10929 |
| work_keys_str_mv | AT kodaifujimoto leightonwintnertypeoscillationcriteriaforsecondorderdifferentialequationswithptlaplacian AT masakazuonitsuka leightonwintnertypeoscillationcriteriaforsecondorderdifferentialequationswithptlaplacian |