Abstract
In this paper, we investigate the existence, uniqueness and stability of pseudo almost periodic mild solution to nonautonomous impulsive integro-differential equations in Banach space. The working tools are based on the fixed point theorems and Gronwall–Bellman inequality. To illustrate our main results, we study pseudo almost periodic solution of the heat equations with Dirichlet conditions.
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This research is supported by the National Natural Science Foundation of China (Grant No. 11426201, 11271065) and the Natural Science Foundation of Zhejiang Province (Grant No. LQ13A010015).
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Xia, Z. Pseudo Almost Periodic Mild Solution of Nonautonomous Impulsive Integro-Differential Equations. Mediterr. J. Math. 13, 1065–1086 (2016). https://doi.org/10.1007/s00009-015-0532-4
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DOI: https://doi.org/10.1007/s00009-015-0532-4