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On periodic solutions of equations with right invertible operators induced by functional shifts. (English) Zbl 0833.47001

Summary: Real shifts induced by right invertible operators were studied by D. Przeworska-Rolewicz. Complex and functional extensions of these shifts were considered by the author. In the present paper periodic solutions of equations and initial value problems, induced by functional shifts are studied. Periodic solutions of an equation with an operator of complex differentiation are considered.

MSC:

47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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