(ω, Q) -periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model

2023-11-222023-11-22http://repository-salesiana.heoq.net/handle/123456789/316251In this paper, we investigate the existence and uniqueness of (ω, Q) -periodic mild solutions for the following problem x′(t)=Ax(t)+f(t,x(t)), t∈R, on a Banach space X. Here, A is a closed linear operator which generates an exponentially stable C-semigroup and the nonlinearity f satisfies suitable properties. The approaches are based on the well-known Banach contraction principle. In addition, a sufficient criterion is established for the existence and uniqueness of (ω, Q) -periodic mild solutions to the Hopfield-type neural network model.1 páginaapplication/pdfapplication/pdf© Copyright 2023 Elsevier B.V., All rights reserved.Atribución 4.0 Internacional (CC BY 4.0)https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/embargoedAccesshttp://purl.org/coar/access_right/c_f1cf(ω, Q)-periodic solutionsAffine-periodic functionsHopfield-typeSemilinear Cauchy problem(ω, Q) -periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network modelArtículo de revista