Semi-periodic solutions of difference and differential equations
1 Department of Mathematical Analysis, Faculty of Science, Palacký University, 17. listopadu 12, Olomouc, 771 46, Czech Republic
2 Centre PMF, Laboratoire SAMM, Université Paris I Panthéon-Sorbonne, 90, Rue de Tolbiac, Paris Cedex 13, 75 634, France
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.