Periodic solutions of systems with singularities of repulsive type
Motivated by the classical Coulomb central motion model, we study the existence of Tperiodic solutions for the nonlinear second order system of singular ordinary differential equations u'' + g(u) = p(t). Using topological degree methods, we prove that when the nonlinearity g : RN\\{0} ← RN...
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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_15361365_v11_n1_p201_Amster |
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| Sumario: | Motivated by the classical Coulomb central motion model, we study the existence of Tperiodic solutions for the nonlinear second order system of singular ordinary differential equations u'' + g(u) = p(t). Using topological degree methods, we prove that when the nonlinearity g : RN\\{0} ← RN is continuous, repulsive at the origin and bounded at infinity, if an appropriate Nirenberg type condition holds then either the problem has a classical solution, or else there exists a family of solutions of perturbed problems that converge uniformly and weakly in H1 to some limit function u. Furthermore, under appropriate conditions we prove that u is a classical solution. |
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