Browsing by Author "Akbulut, Irem"

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    Article
    Stability of a Linear Integro-Differential Equation of First Order With Variable Delays
    (int Center Scientific Research & Studies, 2018) Tunc, Cemil; Akbulut, Irem
    We consider a linear integro-differential equation (IDE) of first order with two variable delays. We construct new conditions guaranteeing the trivial solution of this IDE is stable. The technique of the proof based on the use of the fixed-point theory. Our findings generalize and improve some results can be found in the literature.
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    Article
    On the Stability of Solutions of Neutral Differential Equations of First Order
    (Lebanese Univ, 2019) Akbulut, Irem; Tunc, Cemil
    In this work, the existence and uniqueness of solutions, boundedness of solutions and stability of zero solution of a specific neutral differential equations of first order with multiple time delays are discussed by the fixed point method. An example is given to show the applicability of the results introduced. By this work, we aim to extend and improve some previous results can be found in the literature and to do a contribution to the subject and the literature.