We present sufficient conditions for ensuring almost automorphy of bounded solutions of differential equations of the form x'(t) = Ax(t) + f(t) in Banach spaces. We also give a generalization to Banach spaces of a result by A. M. Fink on almost periodicity of strongly stable motions.
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Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21125, SerbiaKhemis Miliana Univ, Lab Energie & Syst Intelligents, Khemis Miliana 44225, Algeria
机构:
Univ Autonoma San Luis Potosi, CONACyT Inst Phys, Av Manuel Nava 6, San Luis Potosi 78290, San Luis Potosi, MexicoUniv Autonoma San Luis Potosi, CONACyT Inst Phys, Av Manuel Nava 6, San Luis Potosi 78290, San Luis Potosi, Mexico
Garcia-Ramos, Felipe
Jaeger, Tobias
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Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, GermanyUniv Autonoma San Luis Potosi, CONACyT Inst Phys, Av Manuel Nava 6, San Luis Potosi 78290, San Luis Potosi, Mexico
Jaeger, Tobias
Ye, Xiangdong
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USTC, Wu Wen Tsun Key Lab Math, Chinese Acad Sci, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R ChinaUniv Autonoma San Luis Potosi, CONACyT Inst Phys, Av Manuel Nava 6, San Luis Potosi 78290, San Luis Potosi, Mexico
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SHANDONG INST MIN & TECHNOL, DEPT APPL MATH, TAI AN 271019, SHANDONG, PEOPLES R CHINASHANDONG INST MIN & TECHNOL, DEPT APPL MATH, TAI AN 271019, SHANDONG, PEOPLES R CHINA
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Indian Inst Technol Mandi, Sch Math & Stat Sci, Mandi 175005, Himachal Prades, IndiaIndian Inst Technol Mandi, Sch Math & Stat Sci, Mandi 175005, Himachal Prades, India
Abbas, S.
Kostic, M.
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Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21125, SerbiaIndian Inst Technol Mandi, Sch Math & Stat Sci, Mandi 175005, Himachal Prades, India