Abstract
Using periodic and anti-periodic eigenvalues, we present new criteria for guaranteeing the existence, uniqueness and asymptotic stability (in the sense of Lyapunov) of periodic solutions of a Duffing equation under conditions which are weaker than those used in the literature. The proof is based on the application of the existence theorem of Leray-Schauder type, Floquet theory, Lyapunov stability theory and some analytic techniques.
Citation
Feng Wang. Hailong Zhu. "EXISTENCE, UNIQUENESS AND STABILITY OF PERIODIC SOLUTIONS OF A DUFFING EQUATION UNDER PERIODIC AND ANTI-PERIODIC EIGENVALUES CONDITIONS." Taiwanese J. Math. 19 (5) 1457 - 1468, 2015. https://doi.org/10.11650/tjm.19.2015.3992
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