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Paper   IPM / M / 172
School of Mathematics
  Title:   Existence of periodic solution for a class of nonlinear second order ODE
  Author(s): 
1.  B. Mehri
2.  Y. Tabesh
  Status:   Published
  Journal: Casopis Pest. Mat.
  Vol.:  3
  Year:  1994
  Pages:   227-234
  Supported by:  IPM
  Abstract:
We consider the nonlinear second order differential equation
x"+g(x)x′+f(t,x)=e(t)
Where g(x) is continuous f(t,x),e(t) are continuous and periodic with respect to t of period ω. We use the Leray-Schauder principle in a form suggested by G. G·· ussefeldt [1] we prove that the above equation possesses at least one, nontrivial periodic solution of period ω.


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