Periodic solutions of some classes of continuous second-order differential equations
We study the periodic solutions of the second-order differential equations of the form ẍ ± xn = µf (t), or ẍ ± $n = µf (t), where n = 4, 5, . . ., f (t) is a continuous T -periodic function Z T such that f (t)dt 6= 0, and µ is a positive small parameter. Note that the differential equations ẍ ± x...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:182508 |
| Acceso en línea: | https://ddd.uab.cat/record/182508 https://dx.doi.org/urn:doi:10.3934/dcdsb.2017022 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Periodic solution Second order differential equations |
| Sumario: | We study the periodic solutions of the second-order differential equations of the form ẍ ± xn = µf (t), or ẍ ± $n = µf (t), where n = 4, 5, . . ., f (t) is a continuous T -periodic function Z T such that f (t)dt 6= 0, and µ is a positive small parameter. Note that the differential equations ẍ ± xn = µf (t) are only continuous in t and smooth in x, and that the differential equations ẍ ± $n = µf (t) are only continuous in t and locally-Lipschitz in x. |
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