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• W2023695483 abstract "We study the existence of periodic solutions u(·) for a class of nonlinear ordinary differential equations depending on a real parameter s and obtain the existence of closed connected branches of solution pairs (u, s) to various classes of problems, including some cases, like the superlinear one, where there is a lack of a priori bounds. The results are obtained as a consequence of a new continuation theorem for the coincidence equation Lu=N(u, s) in normed spaces. Among the applications, we discuss also an example of existence of global branches of periodic solutions for the Ambrosetti–Prodi type problem u″+g(u)=s+ p(t), with g satisfying some asymmetric conditions." @default.
• W2023695483 created "2016-06-24" @default.
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• W2023695483 date "2000-02-01" @default.
• W2023695483 modified "2023-09-27" @default.
• W2023695483 title "CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS" @default.
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• W2023695483 doi "https://doi.org/10.1142/s0219199700000074" @default.
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