Forced oscillation of hyperbolic equations with mixed nonlinearities
In this paper, we consider the mixed nonlinear hyperbolic equations with forcing term via Riccati inequality. Some sufficient conditions for the oscillation are derived by using Young inequality and integral averaging method.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1430 |
| _version_ | 1797830623605293056 |
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| author | Yutaka Shoukaku Norio Yoshida |
| author_facet | Yutaka Shoukaku Norio Yoshida |
| author_sort | Yutaka Shoukaku |
| collection | DOAJ |
| description | In this paper, we consider the mixed nonlinear hyperbolic equations with forcing term via Riccati inequality. Some sufficient conditions for the oscillation are derived by using Young inequality and integral averaging method. |
| first_indexed | 2024-04-09T13:40:07Z |
| format | Article |
| id | doaj.art-14110767cfa24c859662841b668d3148 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:07Z |
| publishDate | 2012-04-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-14110767cfa24c859662841b668d31482023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-04-0120123311310.14232/ejqtde.2012.1.331430Forced oscillation of hyperbolic equations with mixed nonlinearitiesYutaka Shoukaku0Norio Yoshida1Kanazawa UniversityUniversity of Toyama, Toyama, JapanIn this paper, we consider the mixed nonlinear hyperbolic equations with forcing term via Riccati inequality. Some sufficient conditions for the oscillation are derived by using Young inequality and integral averaging method.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1430forced oscillationhyperbolic equationsriccati inequalityinterval criteria |
| spellingShingle | Yutaka Shoukaku Norio Yoshida Forced oscillation of hyperbolic equations with mixed nonlinearities Electronic Journal of Qualitative Theory of Differential Equations forced oscillation hyperbolic equations riccati inequality interval criteria |
| title | Forced oscillation of hyperbolic equations with mixed nonlinearities |
| title_full | Forced oscillation of hyperbolic equations with mixed nonlinearities |
| title_fullStr | Forced oscillation of hyperbolic equations with mixed nonlinearities |
| title_full_unstemmed | Forced oscillation of hyperbolic equations with mixed nonlinearities |
| title_short | Forced oscillation of hyperbolic equations with mixed nonlinearities |
| title_sort | forced oscillation of hyperbolic equations with mixed nonlinearities |
| topic | forced oscillation hyperbolic equations riccati inequality interval criteria |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1430 |
| work_keys_str_mv | AT yutakashoukaku forcedoscillationofhyperbolicequationswithmixednonlinearities AT norioyoshida forcedoscillationofhyperbolicequationswithmixednonlinearities |