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Browsing by Author "Kaymakçalan, B."

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    Article
    Citation - Scopus: 2
    Behavior of the Solutions for Predator-Prey Dynamic Systems With Beddington-Deangelis Type Functional Response on Periodic Time Scales in Shifts
    (Hindawi Limited, 2016) Güvenilir, A.F.; Kaymakçalan, B.; Pelen, N.N.
    We consider two-dimensional predator-prey system with Beddington-DeAngelis type functional response on periodic time scales in shifts. For this special case we try to find under which conditions the system has δ ± -periodic solution. © 2016 Neslihan Nesliye Pelen et al.
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    Book Part
    Generalized Diamond Alpha Bennett-Leindler Dynamic Inequalities
    (De Gruyter, 2023) Kaymakçalan, B.; Pelen, N.N.; Kayar, Z.
    The dual results; delta and nabla inequalities and their special cases; continuous and discrete inequalities are unified into diamond alpha case and new forms of such results as well as new diamond alpha Bennett-Leindler-type dynamic inequalities are established by developing a novel method, which does not require the Integration by Parts Formula and the Fundamental Theorem of Calculus. These theorems are standard arguments in the proofs of Bennett-Leindler-type dynamic inequalities in the delta and nabla approaches but do not follow naturally in the diamond alpha calculus. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.