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Resonance and non-resonance in a problem of boundedness |
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| Authors: | Rafael Ortega Antonio Tineo |
| Affiliation: | Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain ; Departamento de Matemáticas, Facultad de Ciencias, Universidad de los Andes, 5101-Mérida, Venezuela |
| Abstract: | This paper studies the existence of bounded solutions of a forced non-linear differential equation of arbitrary order. Necessary and sufficient conditions for the existence of such solutions are obtained. These results are inspired by classical results on the periodic problem, both in the resonant and non-resonant cases. |
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