Browsing by Author "Oguz, Arzu Denk"
Now showing 1 - 3 of 3
- Results Per Page
- Sort Options
Article Citation Count: 1LYAPUNOV AND HARTMAN-TYPE INEQUALITIES FOR HIGHER-ORDER DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEMS(Univ Miskolc inst Math, 2023) Özbekler, Abdullah; Alzabut, Jehad; Ozbekler, Abdullah; Jonnalagadda, Jagan Mohan; MathematicsBy 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.Article Citation Count: 1Lyapunov-type inequalities for Lidstone boundary value problems on time scales(Springer-verlag Italia Srl, 2020) Özbekler, Abdullah; Oguz, Arzu Denk; Ozbekler, Abdullah; MathematicsIn 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.Article Citation Count: 1On a system of second-order multi-point boundary value problems on time scales(Tbilisi Centre Math Sci, 2021) Oguz, Arzu Denk; Topal, S. GulsanThis 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.