Abstract
In this paper, we study the existence of positive periodic solutions of resonant Duffing equations with singularities. Some Lazer–Leach type conditions are given to ensure the existence of positive periodic solutions of singular resonant Duffing equations.
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Research supported by Research Fund for the Doctoral Program of Higher Education of China, No. 11AA0013 and Beijing Natural Science Foundation (Existence and multiplicity of periodic solutions in nonlinear oscillations), No. 1112006 and Beijing Education Committee Key Project, No. KZ201310028031.
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Wang, Z. Lazer–Leach type conditions on periodic solutions of semilinear resonant Duffing equations with singularities. Z. Angew. Math. Phys. 65, 69–89 (2014). https://doi.org/10.1007/s00033-013-0323-3
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DOI: https://doi.org/10.1007/s00033-013-0323-3