Weighted pseudo-almost periodic solutions to some differential equations

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New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications (2013, methodology): “By using Radon–Nikodym’s theorem, we can prove that the weighted pseudo-almost periodic functions in the sense of [13,14] are exactly the -pseudoalmost periodic functions in the sense of Definition 2.”
Existence and global attractiveness of a pseudo almost periodic solution in p-th mean sense for stochastic evolution equation driven by a fractional Brownian motion (2015, background): “Diagana [18,19] introduced the concept of weighted pseudo almost periodic, which generalizes the one of the pseudo almost periodicity and gave some properties of the space of weighted pseudo almost periodic functions such as the completeness and the composition theorem.”
WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME ABSTRACT DIFFERENTIAL EQUATIONS WITH UNIFORM CONTINUITY (2010, methodology): “For this purpose, we give a new composition theorem for weighted pseudo-almost periodic functions, which improves the one given in [10] by making use of a uniform continuity condition instead of the Lipschitz condition (see Remark 3.”
Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory (2014, background): “In what follows, we introduce a new concept of ergodicity, which will generalize those given in [12] and [29, 31].”