
arXiv: 1906.01367
handle: 20.500.12556/RUL-108779
We consider a nonlinear implicit evolution inclusion driven by a nonlinear, nonmonotone, time-varying set-valued map and defined in the framework of an evolution triple of Hilbert spaces. Using an approximation technique and a surjectivity result for parabolic operators of monotone type, we show the existence of a periodic solution.
Mathematics - Analysis of PDEs, coercive map, 34A20. 35A05, 35R70, pseudo-monotone map, compact embedding, FOS: Mathematics, implicit inclusion, periodic solution, info:eu-repo/classification/udc/517.91/.95, evolution triple, Analysis of PDEs (math.AP)
Mathematics - Analysis of PDEs, coercive map, 34A20. 35A05, 35R70, pseudo-monotone map, compact embedding, FOS: Mathematics, implicit inclusion, periodic solution, info:eu-repo/classification/udc/517.91/.95, evolution triple, Analysis of PDEs (math.AP)
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