Semi-periodic solutions of difference and differential equations
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Boundary Value Problems 2012, 2012:141 doi:10.1186/1687-2770-2012-141Published: 28 November 2012
The spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity, quasi-periodicity and periodicity. Besides the main theorems, several illustrative examples of this type are supplied. As an application, the existence and uniqueness results are formulated for semi-periodic solutions of quasi-linear difference and differential equations.
MSC: 34C15, 34C27, 34K14, 39A10, 42A16, 42A75.