Rocky Mountain Journal of Mathematics

Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations

Toka Diagana

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Article information

Source
Rocky Mountain J. Math. Volume 43, Number 3 (2013), 793-824.

Dates
First available in Project Euclid: 1 August 2013

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1375361975

Digital Object Identifier
doi:10.1216/RMJ-2013-43-3-793

Mathematical Reviews number (MathSciNet)
MR3093266

Zentralblatt MATH identifier
1291.34102

Subjects
Primary: 34B05: Linear boundary value problems 34C27: Almost and pseudo-almost periodic solutions 35L90: Abstract hyperbolic equations 42A75: Classical almost periodic functions, mean periodic functions [See also 43A60] 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30]

Keywords
Evolution family Schauder fixed point AcquistapaceTerreni conditions exponential stability nonautonomous differential equations second-order differential equation compact almost automorphic pseudo-almost automorphic Sine-Gordon

Citation

Diagana, Toka. Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations. Rocky Mountain J. Math. 43 (2013), no. 3, 793--824. doi:10.1216/RMJ-2013-43-3-793. https://projecteuclid.org/euclid.rmjm/1375361975.


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