scholarly journals Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

2007 ◽  
Vol 67 (6) ◽  
pp. 1870-1877 ◽  
Author(s):  
M.U. Akhmet ◽  
M.A. Tleubergenova ◽  
A. Zafer
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Asymptotic Equivalence ◽  
Equivalence Of Differential Equations ◽  
Asymptotically Almost Periodic

scholarly journals Ergodicity and asymptotically almost periodic solutions of some differential equations

2001 ◽  
Vol 25 (12) ◽  
pp. 787-801 ◽  
Author(s):  
Chuanyi Zhang
Keyword(s):  
Periodic Solution ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Existence And Uniqueness ◽  
Nonlinear Differential Equations ◽  
Almost Periodic Solution ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Ergodic Condition ◽  
Asymptotically Almost Periodic

Using ergodicity of functions, we prove the existence and uniqueness of (asymptotically) almost periodic solution for some nonlinear differential equations. As a consequence, we generalize a Massera’s result. A counterexample is given to show that the ergodic condition cannot be dropped.

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