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Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain

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  • Zhinan Xia

Abstract

By the weighted ergodic function based on the measure theory, we study pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain. The existence and uniqueness of -pseudo antiperiodic ( -pseudo periodic, -pseudo almost periodic, and -pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.

Suggested Citation

  • Zhinan Xia, 2014. "Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, August.
    • Handle: RePEc:hin:jnljam:419103
    DOI: 10.1155/2014/419103
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    Cited by:

    1. Luciano Abadias & Edgardo Alvarez & Rogelio Grau, 2021. "( ω , c )-Periodic Mild Solutions to Non-Autonomous Abstract Differential Equations," Mathematics, MDPI, vol. 9(5), pages 1-15, February.

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