Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction
The article deals with the discrete Klein-Gordon type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interactions. It is assumed that each oscillator interacts with several of its neighbors on both sides. The main result concerns the existence of sub...
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| Format: | Article |
| Language: | English |
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Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University
2024-10-01
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| Series: | Математика, інформатика, фізика: наука та освіта |
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| Online Access: | https://intranet.vspu.edu.ua/miph/index.php/journal/article/view/21 |
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| _version_ | 1850051990003908608 |
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| author | Serhii Bak Halyna Kovtoniuk |
| author_facet | Serhii Bak Halyna Kovtoniuk |
| author_sort | Serhii Bak |
| collection | DOAJ |
| description | The article deals with the discrete Klein-Gordon type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interactions. It is assumed that each oscillator interacts with several of its neighbors on both sides. The main result concerns the existence of
subsonic periodic traveling wave solutions in such equations. Sufficient conditions for the existence of such waves are established using the variational method and the linking theorem. |
| format | Article |
| id | doaj-art-68f82bc7dfa544ba8a018b44d2b9b285 |
| institution | DOAJ |
| issn | 3041-1955 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University |
| record_format | Article |
| series | Математика, інформатика, фізика: наука та освіта |
| spelling | doaj-art-68f82bc7dfa544ba8a018b44d2b9b2852025-08-20T02:52:58ZengVinnytsia Mykhailo Kotsiubynskyi State Pedagogical UniversityМатематика, інформатика, фізика: наука та освіта3041-19552024-10-011210.31652/3041-1955/2024-01-02-01Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interactionSerhii Bak0https://orcid.org/0000-0003-1508-2144Halyna Kovtoniuk1https://orcid.org/0000-0002-3352-0358Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical UniversityVinnytsia Mykhailo Kotsiubynskyi State Pedagogical UniversityThe article deals with the discrete Klein-Gordon type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interactions. It is assumed that each oscillator interacts with several of its neighbors on both sides. The main result concerns the existence of subsonic periodic traveling wave solutions in such equations. Sufficient conditions for the existence of such waves are established using the variational method and the linking theorem.https://intranet.vspu.edu.ua/miph/index.php/journal/article/view/21subsonic periodic traveling waves, Klein-Gordon type equations, nonlocal interaction, critical points, linking theorem |
| spellingShingle | Serhii Bak Halyna Kovtoniuk Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction Математика, інформатика, фізика: наука та освіта subsonic periodic traveling waves, Klein-Gordon type equations, nonlocal interaction, critical points, linking theorem |
| title | Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction |
| title_full | Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction |
| title_fullStr | Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction |
| title_full_unstemmed | Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction |
| title_short | Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction |
| title_sort | existence of subsonic periodic traveling waves in discrete klein gordon type equations with nonlocal interaction |
| topic | subsonic periodic traveling waves, Klein-Gordon type equations, nonlocal interaction, critical points, linking theorem |
| url | https://intranet.vspu.edu.ua/miph/index.php/journal/article/view/21 |
| work_keys_str_mv | AT serhiibak existenceofsubsonicperiodictravelingwavesindiscretekleingordontypeequationswithnonlocalinteraction AT halynakovtoniuk existenceofsubsonicperiodictravelingwavesindiscretekleingordontypeequationswithnonlocalinteraction |