Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle
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- Torres, P.J. MedJM (2004) 1: 479. doi:10.1007/s00009-004-0025-3
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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.