Almost Periodic Solution for Non Autonomous Non Densely Defined Cauchy Problems

DOI10.1007/978-3-031-04616-2_9OpenAlexW4312747507MaRDI QIDQ6186869

Mamadou Moustapha Mbaye, Ousmane Seydi

Publication date: 5 February 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-04616-2_9

zbMATH Keywords

exponential dichotomyintegrated semigroupsalmost periodic solutionsnonautonomous dynamical systems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Cites Work

• Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach
• Integrated semigroups and parabolic equations. I: Linear perburbation of almost sectorial operators
• Integrated semigroups
• On integrated semigroups and age structured models in \(L^p\) spaces.
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations
• On semilinear Cauchy problems with non-dense domain
• Heteroclinic orbits for retarded functional differential equations
• Pseudo almost periodic solutions to some differential equations
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications
• Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
• New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces
• A Finite-time Condition for Exponential Trichotomy in Infinite Dynamical Systems
• Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
• Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
• Pseudo almost periodic solutions for some differential equations in a banach space
• Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations
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