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Some results on a first-order neutral differential equation with piecewise constant mixed arguments

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Abstract

In this paper, we consider a first order neutral differential equation with piecewise constant mixed arguments. We show the existence and uniqueness of solutions of the equation together a given initial condition. Moreover, for the considered equation we establish the conditions of oscillatory and convergency. We also give some examples that illustrate our results.

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Acknowledgements

The authors would like to thank the referee for his/her valuable comments and suggestions.

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  1. Ankara University, Faculty of Science, Department of Mathematics, Ankara, Turkey

    Musa Emre Kavgaci, Huda Al Obaidi & Huseyin Bereketoglu

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  1. Musa Emre Kavgaci
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Kavgaci, M.E., Al Obaidi, H. & Bereketoglu, H. Some results on a first-order neutral differential equation with piecewise constant mixed arguments. Period Math Hung 87, 265–277 (2023). https://doi.org/10.1007/s10998-022-00512-3

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