𝛼∼𝑙 relatively dense sets and weighted pseudo almost periodic phenomenon
DOI10.1090/proc/14818zbMath1448.43002OpenAlexW2981020839MaRDI QIDQ5210941
Ti-Jun Xiao, Jin Liang, Gaston Mandata N'Guérékata
Publication date: 16 January 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/14818
Banach spacevector-valued functionuniqueness of decompositionweighted pseudo almost periodic functionrelatively dense
Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) 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)
Cites Work
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- Weighted pseudo almost-periodic functions and applications to semilinear evolution equations
- On Stepanov-like (pseudo) almost automorphic functions
- Integral operators in spaces of bounded, almost periodic, and almost automorphic functions.
- Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
- Decomposition of weighted pseudo-almost periodic functions
- Weighted pseudo almost periodic functions and applications
- Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
- Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
- Complete second order linear differential equations with almost periodic solutions
- Almost periodic differential equations
- The Cauchy problem for higher-order abstract differential equations
- Asymptotically almost periodic solutions of evolution equations in Banach spaces
- Weighted pseudo almost automorphic functions and WPAA solutions to semilinear evolution equations
- Weighted pseudo-almost periodic solutions to some differential equations
- Almost Periodic Oscillations and Waves
- Second order linear differential equations with almost periodic solutions
- New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
- Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
- Almost Automorphic Functions on Groups
- A NEW APPROACH TO ALMOST PERIODICITY
