Abstract.
In this paper, we prove a result of Ambrosetti–Prodi type for the problem x′=f(t,x)+λx, where f(t,x) is T-periodic in t, f(t,0)≡0 and f(t,x) has “cubic nonlinearities”.
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Received: February 4, 2000¶Published online: April 14, 2003
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ID="*"This paper was partially supported by CDCHT, Universidad de los Andes.
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Tineo, A. A result of Ambrosetti–Prodi type for first-order ODEs with cubic non-linearities. Part I. Ann. Mat. Pura Appl. IV. Ser. 182, 113–128 (2003). https://doi.org/10.1007/s10231-002-0038-0
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DOI: https://doi.org/10.1007/s10231-002-0038-0