Landesman-Lazer conditions for systems involving twist and positively homogeneous Hamiltonian systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916320083181568 |
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| author | Mamo, Natnael Gezahegn Ullah, Wahid |
| author_facet | Mamo, Natnael Gezahegn Ullah, Wahid |
| contents | We present multiplicity results for the periodic and Neumann-type boundary value problems associated with coupled Hamiltonian systems. For the periodic problem, we couple a system having twist condition with another one whose nonlinearity lies between the gradients of two positive and positively 2-homogeneous Hamiltonain functions. Concerning the Neumann-type problem, we treat the same system without any twist assumption. We examine the cases of nonresonance, simple resonance, and double resonance by imposing some kind of Landesman--Lazer conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08389 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Landesman-Lazer conditions for systems involving twist and positively homogeneous Hamiltonian systems Mamo, Natnael Gezahegn Ullah, Wahid Classical Analysis and ODEs 34B15, 34C25 We present multiplicity results for the periodic and Neumann-type boundary value problems associated with coupled Hamiltonian systems. For the periodic problem, we couple a system having twist condition with another one whose nonlinearity lies between the gradients of two positive and positively 2-homogeneous Hamiltonain functions. Concerning the Neumann-type problem, we treat the same system without any twist assumption. We examine the cases of nonresonance, simple resonance, and double resonance by imposing some kind of Landesman--Lazer conditions. |
| title | Landesman-Lazer conditions for systems involving twist and positively homogeneous Hamiltonian systems |
| topic | Classical Analysis and ODEs 34B15, 34C25 |
| url | https://arxiv.org/abs/2407.08389 |