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On periodic solutions of first order linear functional differential equations. (English) Zbl 1008.34062
Here, the functional-differential equation $u'(t)= l(u)(t)+ g(t)\tag{1}$ is considered, where $$l$$ is a linear bounded operator from the space $$C_\omega(\mathbb{R})$$ of continuous $$\omega$$-periodic functions to the space $$L_\omega(\mathbb{R})$$ of $$\omega$$-periodic Lebesgue integrable functions and $$g\in L_\omega(\mathbb{R})$$. New optimal sufficient conditions are established for the existence of a unique $$\omega$$-periodic solution to (1).

##### MSC:
 34K13 Periodic solutions to functional-differential equations 34K06 Linear functional-differential equations
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##### References:
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