Browsing by Author "Oguz, Arzu Denk"

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Citation - WoS: 2
Citation - Scopus: 3
Lyapunov and Hartman-Type Inequalities for Higher-Order Discrete Fractional Boundary Value Problems
(Univ Miskolc inst Math, 2023) Oguz, Arzu Denk; Alzabut, Jehad; Ozbekler, Abdullah; Jonnalagadda, Jagan Mohan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
By employing Green's function, we obtain new Lyapunov and Hartman-type inequalities for higher-order discrete fractional boundary value problems. Reported results essentially generalize some theorems existing in the literature. As an application, we discuss the corresponding eigenvalue problems.
Citation - WoS: 2
Citation - Scopus: 3
Lyapunov-Type Inequalities for Lidstone Boundary Value Problems on Time Scales
(Springer-verlag Italia Srl, 2020) Agarwal, Ravi P.; Oguz, Arzu Denk; Ozbekler, Abdullah; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we establish new Hartman and Lyapunov-type inequalities for even-order dynamic equations x.2n (t) + (-1)n-1q(t) xs (t) = 0 on time scales T satisfying the Lidstone boundary conditions x.2i (t1) = x.2i (t2) = 0; t1, t2. [t0,8) T for i = 0, 1,..., n - 1. The inequalities obtained generalize and complement the existing results in the literature.
Citation - WoS: 1
Citation - Scopus: 1
On a system of second-order multi-point boundary value problems on time scales
(Tbilisi Centre Math Sci, 2021) Oguz, Arzu Denk; Topal, S. Gulsan; 01. Atılım University
This paper is concerned with the existence and nonexistence of positive solutions for a system of nonlinear second order dynamic equations with multi-point boundary conditions on time scales.