Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Holubová, Gabriela | |
| dc.contributor.author | Levá, Hana | |
| dc.date.accessioned | 2023-10-30T11:00:19Z | - |
| dc.date.available | 2023-10-30T11:00:19Z | - |
| dc.date.issued | 2023 | |
| dc.identifier.citation | HOLUBOVÁ, G. LEVÁ, H. Travelling wave solutions of the beam equation with jumping nonlinearity. Journal of Mathematical Analysis and Applications, 2023, roč. 527, č. 2, s. 1-15. ISSN: 0022-247X | cs |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | 2-s2.0-85161632949 | |
| dc.identifier.uri | http://hdl.handle.net/11025/54562 | |
| dc.format | ||
| dc.format | 15 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | ||
| dc.language.iso | en | en |
| dc.publisher | Academic Press | en |
| dc.relation.ispartofseries | Journal of Mathematical Analysis and Applications | en |
| dc.rights | Plný text je přístupný v rámci univerzity přihlášeným uživatelům | cs |
| dc.rights | © Elsevier | en |
| dc.title | Travelling wave solutions of the beam equation with jumping nonlinearity | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | restrictedAccess | en |
| dc.type.version | publishedVersion | en |
| dc.description.abstract-translated | We study the existence of travelling wave solutions of a nonlinear fourth–order partial differential equation which can be considered as a model of an asymmetrically supported beam. We use a variational approach and show that there exist infinitely many travelling wave solutions under considerably weakened assumptions than those previously used in the literature. On the other hand, allowing the presence of sign preserving nonlinearities results in a limitation of the possible values of the wave speed. We pose several questions that still remain open, particularly regarding the range of wave speeds and the number of solutions. Moreover, some forms of classical solutions are presented together with some numerical experiments. | en |
| dc.subject.translated | travelling wave | en |
| dc.subject.translated | beam equation | en |
| dc.subject.translated | jumping nonlinearity | en |
| dc.subject.translated | mountain pass theorem | en |
| dc.identifier.doi | 10.1016/j.jmaa.2023.127466 | |
| dc.type.status | ||
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 1023587500001 | |
| dc.identifier.obd | 43939725 | |
| dc.project.ID | GA22-18261S/Nelineární úlohy s nestandardní difuzí | cs |
| dc.project.ID | SGS-2022-006/Kvalitativní a kvantitativní studium matematických modelů V. | cs |
| Vyskytuje se v kolekcích: | Články / Articles (NTIS) Články / Articles (KMA) OBD | |
Soubory připojené k záznamu:
| Soubor | Velikost | Formát | |
|---|---|---|---|
| travelling_wave_solutions_of_the_beam_equation_with_jumping_nonlinearity.pdf | 422,84 kB | Adobe PDF | Zobrazit/otevřít Vyžádat kopii |
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