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Browsing by Author "Erdur, S."

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    Article
    On the Existence of Periodic Solutions To Certain Non-Linear Differential Equations of Third Order
    (2017) Tunç, C.; Erdur, S.
    We investigated the existence of periodic solutions to a kind of non-linear differential equations of third order. We prove two new theorems on the existence of periodic solutions to the equation considered. The technique of proof involves the Leray-Schauder degree theory. The results obtained include and improve some results found in the literature. © Pakistan Academy of Sciences.
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    On the Qualitative Analyses of Nonlinear Delay Differential Equations of Third Order
    (Cambridge Scientific Publishers, 2022) Erdur, S.; Tunc, C.
    The authors of this paper examine uniformly asymptotically stability (UAS), uniformly boundedness (UB), ultimately uniformly boundedness (UUB) and existence of periodic solutions (EPSs) of certain nonlinear delay differential equations (DDEs) of third order with multiple constant delays. They prove two results and give a corollary on these properties of solutions. The main results of this paper have sufficient conditions and the technique of the proofs for these results is based on construction of a proper Lyapunov-Krasovskiǐ function (LKF). This paper has novel results to the theory of DDEs of third order and fills some gaps related to the mentioned concepts. © CSP - Cambridge, UK; I&S - Florida, USA, 2022