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Pseudo Almost Periodic Mild Solution of Nonautonomous Impulsive Integro-Differential Equations

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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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Authors and Affiliations

  1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023, Zhejiang, China

    Zhinan Xia

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  1. Zhinan Xia
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Correspondence to Zhinan Xia.

Additional information

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

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