Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces
DOI10.1007/s43036-023-00249-xOpenAlexW3030952605MaRDI QIDQ2684561
Kamal Khalil, Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi
Publication date: 16 February 2023
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.13442
exponential dichotomyevolution familynonautonomous semilinear evolution equations\(\mu\)-pseudo-almost automorphic solutionsStepanov \(\mu\)-pseudo-almost automorphic functions
Classical almost periodic functions, mean periodic functions (42A75) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nonlinear evolution equations (47J35) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Semilinear parabolic equations (35K58) Groups and semigroups of linear operators, their generalizations and applications (47Dxx)
Cites Work
- Unnamed Item
- Measure theory and pseudo almost automorphic functions: new developments and applications
- Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Almost automorphic and weighted pseudo almost automorphic solutions of semilinear evolution equations
- Semigroups of linear operators and applications to partial differential equations
- A unified approach to abstract linear nonautonomous parabolic equations
- Pseudo almost periodic solutions of some differential equations
- Composition theorems of Stepanov \(\mu \)-pseudo almost automorphic functions and applications to nonautonomous neutral evolution equations
- Pseudo almost periodic solutions for some parabolic evolution equations with Stepanov-like pseudo almost periodic forcing terms
- New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations
- Almost automorphic solutions for nonautonomous parabolic evolution equations
- Multi-dimensional almost automorphic type functions and applications
- Stepanov ergodic perturbations for some neutral partial functional differential equations
- Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
- One-Parameter Semigroups for Linear Evolution Equations
- Almost automorphic solutions of semilinear evolution equations
- New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
- Stepanov pseudo‐almost periodic functions and applications
- Compact almost automorphic solutions for semilinear parabolic evolution equations
- Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
- Analytic semigroups and optimal regularity in parabolic problems
- Abstrakte fastperiodische Funktionen
- Almost-periodic-type solutions of some differential equations with piecewise constant argument
This page was built for publication: Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces
