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Paper
IPM / M / 172 |
School of Mathematics
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Title: |
Existence of periodic solution for a class of nonlinear second order ODE
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Author(s): |
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Status: |
Published
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Journal: |
Casopis Pest. Mat.
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Vol.: |
3
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Year: |
1994
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Pages: |
227-234
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Supported by: |
IPM
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Abstract: |
We consider the nonlinear second order differential equation
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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