Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle
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The purpose of this paper is to obtain new criteria for existence and asymptotic stability of periodic solutions of a Duffing equation x′′ + cx′ + g(t, x) = 0, taking advantage of a new maximum principle with Lp-conditions combined with known relations between upper and lower solutions, topological degree and stability.
Mathematics Subject Classification (2000).Primary 34C25 Secondary 93D20
Keywords.Periodic solution asymptotic stability maximum principle upper and lower solutions
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