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Bounded and periodic solutions of infinite delay evolution equations |
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| Authors: | James Liu Toshiki Naito |
| Institution: | a Department of Mathematics, James Madison University, Harrisonburg, VA 22807, USA b Department of Mathematics, University of Electro-Communications, Chofu, Tokyo 182-8585, Japan c Department of Mathematics, Hanoi University of Science, Khoa Toan, DHKH Tu Nhien, 334 Nguyen Trai, Hanoi, Viet Nam |
| Abstract: | For A(t) and f(t,x,y) T-periodic in t, we consider the following evolution equation with infinite delay in a general Banach space X: (0.1) |
| Keywords: | Infinite delay Bounded and periodic solutions Condensing operators Hale and Lunel's fixed point theorem |
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