Browsing by Author "DOĞAN, Abdülkadir"

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    Article
    On the existence of positive solutions of the p-Laplacian dynamic equations on time scales
    (WILEY, 2017) DOĞAN, Abdülkadir; 0000-0002-7532-1920; AGÜ; DOĞAN, Abdülkadir
    In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As an application, an example is included to demonstrate themain results.
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    Article
    Positive solutions of multipoint φ-Laplacian BVPs with first-order derivative dependence
    (World Scientific, 2023) Bachouche K.; Tair H.; DOĞAN, Abdülkadir; 0000-0002-3195-4718 View this author’s ORCID profile; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü; Doğan, Abdülkadir
    This paper concerns existence of positive solutions for a second-order boundary value problem of Sturm-Liouville type associated with a φ-Laplacian operator and posed on a bounded interval. Existence results are obtained by an adapted version of the Krasnosel'skii's fixed point theorem of cone expansion and compression. Some examples illustrate our results.