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• W2095942409 abstract "Abstract The paper deals with the problem of the existence of a branch of T -periodic solutions originating from the isolated limit cycle of an autonomous parabolic equation in a Banach space when it is perturbed by a nonlinear T -periodic term of small amplitude. We solve this problem by first introducing a novel integral operator, whose fixed points are T -periodic solutions of the considered equation and vice versa . Then we compute the Malkin bifurcation function associated to this integral operator and we provide conditions under which the well-known assumption of the existence of a simple zero of the Malkin bifurcation function guarantees the existence of the branch. MSC: 35K58, 35B10, 35B20, 35B32." @default.
• W2095942409 created "2016-06-24" @default.
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• W2095942409 date "2013-04-23" @default.
• W2095942409 modified "2023-09-24" @default.
• W2095942409 title "A bifurcation problem for a class of periodically perturbed autonomous parabolic equations" @default.
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• W2095942409 doi "https://doi.org/10.1186/1687-2770-2013-101" @default.
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