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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
ABI

Abstract

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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