Periodic solutions of resonant systems with rapidly rotating nonlinearities
We obtain existence of T-periodic solutions to a second order system of ordinary differential equations of the form u'' + cu' + g(u) = p where c ε R; p ε C(R;R N) is T-periodic and has mean value zero, and g ε C(RN;RN) is e.g. sublinear. In contrast with a well known result by Nirenbe...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10780947_v31_n2_p373_Amster |
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| Sumario: | We obtain existence of T-periodic solutions to a second order system of ordinary differential equations of the form u'' + cu' + g(u) = p where c ε R; p ε C(R;R N) is T-periodic and has mean value zero, and g ε C(RN;RN) is e.g. sublinear. In contrast with a well known result by Nirenberg [6], where it is assumed that the nonlinearity g has non-zero uniform radial limits at infinity, our main result allows rapid rotations in g. |
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