Construction of almost periodic functions with given properties

Electronic Journal of Differential Equations

关键词: Almost periodic solutions;    linear differential equations;    skew-Hermitian systems;   

DOI  :  

来源: DOAJ

【 摘 要 】

We define almost periodic functions with values in a pseudometricspace $mathcal{X}$. We mention the Bohr and the Bochnerdefinition of almost periodicity. We present one modifiable methodfor constructing almost periodic functions in $mathcal{X}$.Applying this method, we prove that in any neighbourhood of analmost periodic skew-Hermitian linear differential system thereexists a system which does not possess a nontrivial almostperiodic solution.

【 授权许可】

Unknown