Asymptotically \(\omega \)-periodic functions in the Stepanov sense and its application for an advanced differential equation with piecewise constant argument in a Banach space. (English) Zbl 1387.34098
Summary: In this paper, we give sufficient conditions for the existence and uniqueness of asymptotically \(\omega \)-periodic solutions for a nonlinear differential equation with piecewise constant argument in a Banach space via asymptotically \(\omega \)-periodic functions in the Stepanov sense. This is done using the Banach fixed point theorem.
MSC:
| 34K13 | Periodic solutions to functional-differential equations |
| 34K30 | Functional-differential equations in abstract spaces |
Keywords:
asymptotically \(\omega \)-periodic functions; differential equations with piecewise constant argument; evolutionary processReferences:
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