Oscillation criteria for second-order nonlinear perturbed differential equations
In this article, we study the oscillation of solutions to the nonlinear second-order differential equation $$ \Big(r(t)\psi(x(t))|x'(t)|^{\alpha-1}x'(t)\Big)' +P(t,x'(t))\psi(x(t))+Q(t,x(t))=0. $$ We obtain sufficient conditions for the oscillation of all solutions to thi...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/103/abstr.html |
| _version_ | 1811218720885833728 |
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| author | Pakize Temtek |
| author_facet | Pakize Temtek |
| author_sort | Pakize Temtek |
| collection | DOAJ |
| description | In this article, we study the oscillation of solutions to the nonlinear
second-order differential equation
$$
\Big(r(t)\psi(x(t))|x'(t)|^{\alpha-1}x'(t)\Big)'
+P(t,x'(t))\psi(x(t))+Q(t,x(t))=0.
$$
We obtain sufficient conditions for the oscillation of all solutions to
this equation. |
| first_indexed | 2024-04-12T07:14:11Z |
| format | Article |
| id | doaj.art-a5e0a039afbf4cef99e239950c5ab3cc |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T07:14:11Z |
| publishDate | 2014-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a5e0a039afbf4cef99e239950c5ab3cc2022-12-22T03:42:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-04-012014103,110Oscillation criteria for second-order nonlinear perturbed differential equationsPakize Temtek0 Erciyes Univ., Kayseri, Turkey In this article, we study the oscillation of solutions to the nonlinear second-order differential equation $$ \Big(r(t)\psi(x(t))|x'(t)|^{\alpha-1}x'(t)\Big)' +P(t,x'(t))\psi(x(t))+Q(t,x(t))=0. $$ We obtain sufficient conditions for the oscillation of all solutions to this equation.http://ejde.math.txstate.edu/Volumes/2014/103/abstr.htmlOscillationsecond order nonlinear differential equation |
| spellingShingle | Pakize Temtek Oscillation criteria for second-order nonlinear perturbed differential equations Electronic Journal of Differential Equations Oscillation second order nonlinear differential equation |
| title | Oscillation criteria for second-order nonlinear perturbed differential equations |
| title_full | Oscillation criteria for second-order nonlinear perturbed differential equations |
| title_fullStr | Oscillation criteria for second-order nonlinear perturbed differential equations |
| title_full_unstemmed | Oscillation criteria for second-order nonlinear perturbed differential equations |
| title_short | Oscillation criteria for second-order nonlinear perturbed differential equations |
| title_sort | oscillation criteria for second order nonlinear perturbed differential equations |
| topic | Oscillation second order nonlinear differential equation |
| url | http://ejde.math.txstate.edu/Volumes/2014/103/abstr.html |
| work_keys_str_mv | AT pakizetemtek oscillationcriteriaforsecondordernonlinearperturbeddifferentialequations |