Almost periodic solutions of evolution equations

DOI10.1016/0022-247X(89)90307-7zbMath0687.47032OpenAlexW2087446718MaRDI QIDQ5906249

Jerome A. Goldstein, Michael E. Ballotti, Mary E. Parrott

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90307-7

zbMATH Keywords

stableCauchy problemevolution equationalmost periodic solutionwell posedalmost periodic solutionsfully nonlinearsemilinearstrongly almost periodic

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05)

Related Items

\(C\)-semigroups and almost periodic solutions of evolution equations ⋮ On the ergodic limits for unitary periodic propagators ⋮ Basic reproduction ratios for almost periodic compartmental models with time delay ⋮ Almost periodic dynamics of perturbed infinite-dimensional dynamical systems ⋮ Frequency modules and nonexistence of quasi-periodic solutions of nonlinear evolution equations ⋮ Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems ⋮ A Katznelson-Tzafriri type theorem for almost periodic linear evolution equations ⋮ Asymptotic Behavior of Linear Almost Periodic Differential Equations

Cites Work

• Convergence rates of ergodic limits for semigroups and cosine functions
• Linear evolution equations of hyperbolic type. II
• Integration of the equation of evolution in a Banach space
• On linear differential equations in banach spaces
• Nonlinear evolution equations in Banach spaces
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