Open AccessPseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain
Author(s) -
Zhinan Xia
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/419103
Subject(s) - uniqueness , algorithm , domain (mathematical analysis) , mathematics , computer science , mathematical analysis
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
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