Browsing by Author "Yazgan, R."

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An Analysis on the Weighted Pseudo Almost Periodic Solutions of Hornns With Variable Delays
(Palestine Polytechnic University, 2023) Yazgan, R.; Tunç, C.
This study belongs to a class of high order recurrent neural networks differential equations with variable delays. With the help of theory of weighted pseudo almost peri-odic(WPAP) functions and some differential inequalities, we investigate the existence of the solutions of the considered model and the exponential stability of these solutions. An example is given as an application of these results. © Palestine Polytechnic University-PPU 2023.
On the Pseudo Almost Automorphic Solutions for Lienard -Type Systems With Multiple Delays
(Islamic Azad Univ, Shiraz Branch, 2022) Yazgan, R.
In this study, pseudo almost automorphic(PAA) solutions of a Lienard-type system with multiple delays are considered. By applying the main features of PAA, Banach fixed point theorem and some differential inequalities, sufficient conditions for the existence and uniqueness of such solutions are obtained. Since the PAA is more general than the almost periodicity(AP) and pseudo almost periodicity(PAP), this work is a new and complementary compared to previous studies. In addition, an example is given to show the correctness of the created conditions.
On the Weighted Pseudo Almost Periodic Solutions of Nonlinear Functional Duffing Equation
(Natural Sciences Publishing USA, 2017) Yazgan, R.; Tunç, C.
This paper investigates a nonlinear Duffing equation with a variable time lag. By using a fixed point theorem, weighted pseudo almost periodic functions and differential inequality techniques, we establish new criteria for existence,uniqueness and globally exponential stability of weighted pseudo almost periodic solutions. An example with its numerical simulation is given to show the applicability of the proposed results. The results obtained is new and complements that found in the literature. © 2017 NSP.