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

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 μ-pseudo antiperiodic (μ-pseudo periodic, μ-pseudo almost periodic, and μ-pseudo au...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2014; no. 2014; pp. 1 - 10
Main Author Xia, Zhinan
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Analysis
Asymptotic distribution (Probability theory)
Asymptotic properties
Banach spaces
Behavior
Differential equations
Ergodic processes
Functions (mathematics)
Mathematical analysis
Probability
Uniqueness
United States
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Summary: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 μ-pseudo antiperiodic (μ-pseudo periodic, μ-pseudo almost periodic, and μ-pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1110-757X
1687-0042
DOI:10.1155/2014/419103