On Stepanov-like (pseudo) almost automorphic functions
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Publication:531676
DOI10.1016/j.na.2011.01.007zbMath1229.34092OpenAlexW2029166638MaRDI QIDQ531676
Zhenbin Fan, Ti-Jun Xiao, Jin Liang
Publication date: 19 April 2011
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.2011.01.007
Linear differential equations in abstract spaces (34G10) 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
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- Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations
- Decomposition of weighted pseudo-almost periodic functions
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations
- Existence of positive almost automorphic solutions to nonlinear delay integral equations
- Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
- Superposition operators between various almost periodic function spaces and applications
- 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
- Weighted pseudo almost automorphic functions and applications to abstract differential equations
- Composition of pseudo almost automorphic and asymptotically almost automorphic functions
- Stepanov-like almost automorphic functions and monotone evolution equations
- Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations
- Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
- A NEW APPROACH TO ALMOST PERIODICITY