Ultimate boundedness does not imply almost periodicity

DOI10.1016/0022-0396(71)90081-7zbMath0228.34021OpenAlexW1981077091MaRDI QIDQ2549792

A. M. Fink, P. O. Frederickson

Publication date: 1971

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(71)90081-7

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (7)

On the structure of the global attractor for non-autonomous difference equations with weak convergence ⋮ Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations ⋮ Almost periodic upper and lower solutions. ⋮ Degree Theory and Almost Periodic Problems ⋮ I. U. Bronshtein's conjecture for monotone nonautonomous dynamical systems ⋮ Asymptotically dichotomic almost periodic differential equations ⋮ Almost automorphic and almost periodic dynamics for quasimonotone non-autonomous functional differential equations

Cites Work

• Stability theory of dynamical systems.
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