Title: Existence and uniqueness of (ω,c)-periodic solutions of semilinear evolution equations

Authors: Makrina Agaoglou; Michal Fečkan; Angeliki P. Panagiotidou

Addresses: Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia; Faculty of Engineering, Department of Mechanical Engineering, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece ' Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia; Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia ' Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia; School of Science and Technology, Hellenic Open University, 13-15 Tsamadou str., GR-26222 Patras, Greece

Abstract: In this work we study the existence and uniqueness of (ω, c)-periodic solutions for semilinear evolution equations in complex Banach spaces.

Keywords: (ω,c)-periodic solutions; semilinear evolution equations; nonresonance conditions.

DOI: 10.1504/IJDSDE.2020.106027

International Journal of Dynamical Systems and Differential Equations, 2020 Vol.10 No.2, pp.149 - 166

Received: 04 Jul 2018
Accepted: 01 Oct 2018
Published online: 25 Mar 2020 *

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