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Periodic solutions for a nonautonomous ordinary differential equation
Authors:Anderson Luis Albuquerque Araujo
Institution:
  • Departamento de Matemática, Universidade Federal de Viçosa, 36571-000, Viçosa (MG), Brazil
  • Abstract:We consider the nonautonomous differential equation of second order x+a(t)xb(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.
    Keywords:Primary  34C25  47H11  Secondary  47H10
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