Browsing by Author "Dinc, Yavuz"

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On Innovative Conditions for Weighted Hardy-Type Inequalities on Time Scales
(Wiley, 2025) Akin, Lutfi; Dinc, Yavuz
This article presents necessary and sufficient conditions for novel characterizations of weighted Hardy-type inequalities applying the chain rule, Minkowski's inequality, and H & ouml;lder's inequality with nabla calculus on time scales. Properties of time scales and Okpoti inequality are exploited to derive our results. These results differ from classical weighted Hardy-type inequalities because they are examined on time scales that combine discrete and continuous cases.
Qualitative Analysis of Solutions for a Timoshenko Type Equation With Logarithmic Source Term
(Univ Nis, 2025) Dinc, Yavuz; Irkil, Nazli; Piskan, Erhan; Tunc, Cemil
This paper deals with a Timoshenko type equation with strong damping and logarithmic source terms. The global existence and the decay estimate of the solutions have been obtained. We reproduce the finite time blow up results of weak solutions by the combining of the concavity method, perturbation energy method and differential-integral inequality technique. These results extend and improve some recent results in logarithmic nonlinearity.
Citation - WoS: 10
Citation - Scopus: 11
Qualitative properties of certain non-linear differential systems of second order
(TAYLOR & FRANCIS LTD, 2017) Tunc, Cemil; Dinc, Yavuz; 04.02. Department of Management / İşletme Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu Üniversitesi
In this paper, we study the boundedness and square integrability of solutions in certain non-linear systems of differential equations of second order. We establish two new theorems, which include suitable sufficient conditions guaranteeing the boundedness and square integrability of solutions to the considered systems. The presented proofs simplify previous works since the Gronwall inequality is avoided which is the usual case. The technique of proof involves the integral test, and two examples are included to illustrate the results. (C) 2016 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University.
Upper Bounds for the Blow Up Time for the Kirchhoff-Type Equation
(Ankara Univ, Fac Sci, 2023) Dinc, Yavuz; Piskin, Erhan; Tunc, Cemil; 04.02. Department of Management / İşletme Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu Üniversitesi
. In this research, we take into account the Kirchhoff type equation with variable exponent. The Kirchhoff type equation is known as a kind of evolution equations,namely, PDEs, where t is an independent variable. This type problem can be extensively used in many mathematical models of various applied sciences such as flows of electrorheological fluids, thin liquid films, and so on. This research, we investigate the upper bound for blow up time under suitable conditions.