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

Kavgaci, Musa Emre; Obaidi, Huda Al; Bereketoğlu, Hüseyin

doi:10.1007/s10998-022-00512-3

Period Math Hung

2023

DOI: 10.1007/s10998-022-00512-3

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

Musa Emre Kavgaci

Huda Al Obaidi

Hüseyin Bereketoğlu

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2024

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Cited by 1 publication

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On a class of fourth-order neutral differential equation with piecewise constant arguments

Kavgacı

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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In this paper, we investigate a fourth-order neutral differential equation characterized by piecewise constant arguments. Our study focuses on establishing both the existence and uniqueness of solutions to this equation, incorporating a prescribed initial condition. In addition, we investigate the stability analysis of the above-mentioned equation and show that the zero solution of this equation cannot be asymptotically stable and indicate under what conditions it is unstable. Through rigorous mathematical analysis and theoretical exploration, this research contributes to the deeper understanding of fourth-order neutral differential equations with piecewise constant arguments, offering insights into their solution behavior and stability properties.

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On a class of fourth-order neutral differential equation with piecewise constant arguments

Kavgacı

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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

Cited by 1 publication

References 42 publications

On a class of fourth-order neutral differential equation with piecewise constant arguments

On a class of fourth-order neutral differential equation with piecewise constant arguments

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