| On the Existence and Uniqueness of Periodic Solutionof Duffing's Equation |
| Received:November 29, 1999 |
| Key Words:
Duffing's equation Periodic solution Coincidence degree.
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| Abstract: |
| Consider the Duffing's equation x+g(x)=p(t) where g ∈ C1(R) and p(t)∈ C(R) is a 2π- periodic, with g(x) statisfying condition g′ (x) < 0 , the necessary and sufficient conditions to ensure the existence and uniqueness of 2π- periodic solution of Duffing equation are obtained by means of coincidence degree. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2002.04.019 |
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