Almost automorphic solutions to some damped second-order differential equations |
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| Authors: | Toka Diagana |
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| Institution: | 1. Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy;2. Stefan cel Mare University of Suceava, Faculty of Electrical Engineering and Computer Science, Integrated Center for Research, Development and Innovation in Advanced Materials, Nanotechnologies, and Distributed Systems for Fabrication and Control (MANSiD), Universitatii 13, 720225 Suceava, Romania;1. School of Science, Chongqing Jiaotong University, Chongqing 400074, PR China;2. School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China;3. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, PR China;1. Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1113, USA;2. Department of Mathematics, University of Brasilia, Brasilia, DF 70910-900, Brazil |
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| Abstract: | In this paper we make extensive use of dichotomy tools and the well-known Schauder fixed point principle to study and obtain the existence of almost automorphic solutions to some nonautonomous damped second-order differential equations. To illustrate our abstract result, we study the existence of almost automorphic solutions to the so-called plate-like equation. |
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