POSITIVE WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS TO INFINITE DELAY INTEGRAL EQUATION |
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| Authors: | Liuwei Zhang Yuantong Xu |
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| Institution: | Liuwei Zhang (Sino-French Institute of Nuclear Engineering and Technology,Sun Yat-sen University,Zhuhai 519082,Guangdong) Yuantong Xu (Dept. of Math.,Guangzhou 510275) |
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| Abstract: | This paper studies the existence of almost periodic type solutions to the nonlinear infinite delay integral equation. By means of the fixed theorem on a suitable space with Hilbert’s projective metric, we establish some sufficient conditions for the existence of positive weighted pseudo-almost periodic solutions to the equation. |
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| Keywords: | weighted pseudo-almost periodicity infinite delay integral equation |
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