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Existence conditions for 2-periodic solutions to a non-homogeneous differential equations with piecewise constant argument

M. I. MuminovSamarkand state university, University boulvare. 15, Samarkand, 140100, UzbekistanTirkash A. RadjabovSamarkand state university, University boulvare. 15, Samarkand, 140100, Uzbekistan
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This paper provides a method of finding 2-periodical solutions for the first-order non-homogeneous differential equations with piecewise constant arguments. All existence conditions are described for 2-periodical solutions and obtained explicit formula for these solutions. An example for the problem that has infinitely many solutions is constructed.

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