Double-measure Pseudo-S-asymptotically ω-periodic Functions and Applications
DOI:
https://doi.org/10.64229/pt9wcm29Keywords:
Translation invariance, Convolution operator, Ergodicity, Nonautonomous evolution equation, Evolution familyAbstract
The aim of this work is to present some new contributions on double measure S-asymptotically ω-periodic functions. First we give the central result of the paper which characterizes the translation invariance of the double-measure ergodic spaces. After, we establish many interesting results on the functional spaces, such as composition theorems, Volterra operator. The theory developed in this work generalizes classical results on asymptotically ω-periodic functions. Then we apply the obtained results to investigate the existence of double measure pseudo S-asymptotically ω-periodic mild solutions for some nonautonomous partial evolution equations.
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Copyright (c) 2026 Elhadi Ait Dads, Lahcen Lhachimi (Author)
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