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Shift Operators

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Functional Dynamic Equations on Time Scales
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Abstract

Suppose that \(\mathbb {T}\) is an unbounded above time scale with forward jump operator and delta differentiation operator σ and Δ, respectively. Let \(t_0\in \mathbb {T}\).

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References

  1. M. Adivar and Y. Raffoul. Existence of Periodic Solutions in Totally Nonlinear Delay Dynamic Equations, Electron. J. Qual. Theory Differ. Equ., Spec. Ed. 1 (2009), 1–20.

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  2. M. Adivar and Y. Raffoul. Shift Operators and Stability in Delayed Dynamic Equations, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 68, 4,(2010), pp. 369–396.

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Georgiev, S.G. (2019). Shift Operators. In: Functional Dynamic Equations on Time Scales. Springer, Cham. https://doi.org/10.1007/978-3-030-15420-2_13

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