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Xia, Zhinan

Pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain. (English) Zbl 1442.34100

J. Appl. Math. 2014, Article ID 419103, 10 p. (2014).
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 \(\mu\)-pseudo antiperiodic (\(\mu\)-pseudo periodic, \(\mu\)-pseudo almost periodic, and \(\mu\)-pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.

Cited in 1 Document

MSC:

34G20 Nonlinear differential equations in abstract spaces
43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
45J05 Integro-ordinary differential equations
45N05 Abstract integral equations, integral equations in abstract spaces
47D06 One-parameter semigroups and linear evolution equations
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\textit{Z. Xia}, J. Appl. Math. 2014, Article ID 419103, 10 p. (2014; Zbl 1442.34100)
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References:

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