Periodic solutions for a nonautonomous ordinary differential equation |
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Authors: | Anderson Luis Albuquerque Araujo |
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Affiliation: | Departamento de Matemática, Universidade Federal de Viçosa, 36571-000, Viçosa (MG), Brazil |
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Abstract: | We consider the nonautonomous differential equation of second order x″+a(t)x−b(t)x2+c(t)x3=0, where a(t),b(t),c(t) are T-periodic functions. This is a biomathematical model of an aneurysm in the circle of Willis. We prove the existence of at least two positive T-periodic solutions for this equation, using coincidence degree theories. |
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Keywords: | Primary, 34C25, 47H11 Secondary, 47H10 |
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