A composition theorem for weighted pseudo-almost automorphic functions and applications

DOI10.1016/j.na.2010.06.042zbMath1210.43008OpenAlexW2093640421MaRDI QIDQ988153

Hui-Sheng Ding, Wei Long, Gaston Mandata N'Guérékata

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.042

zbMATH Keywords

semilinear evolution equationspseudo-almost automorphiccomposition theoremweighted pseudo-almost automorphic

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Classical almost periodic functions, mean periodic functions (42A75) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

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Cites Work

• Weighted pseudo almost periodic functions and applications
• Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
• Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
• Existence of pseudo-almost automorphic solutions to some abstract differential equations with \(\mathbf S^p\)-pseudo-almost automorphic coefficients
• Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
• Existence, uniqueness and attractiveness of a pseudo almost automorphic solutions for some dissipative differential equations in Banach spaces
• Weighted pseudo almost automorphic functions and applications to abstract differential equations
• Composition of pseudo almost automorphic and asymptotically almost automorphic functions
• Weighted pseudo-almost periodic solutions to some differential equations
• Stepanov-like almost automorphic functions and monotone evolution equations
• Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations
• Pseudo almost automorphic solutions for dissipative differential equations in Banach spaces
• Weighted pseudo-almost periodic solutions to a neutral delay integral equation of advanced type
• New Almost Periodic Type Functions and Solutions of Differential Equations
• Topics in Almost Automorphy
• Stepanov-like almost automorphic functions and applications to some semilinear equations
• Composition of pseudo almost-periodic functions and semilinear differential equations.
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