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Browsing by Author "Dinc, Yavuz"

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    Article
    Qualitative properties of certain non-linear differential systems of second order
    (TAYLOR & FRANCIS LTD, 2017) Tunc, Cemil; Dinc, Yavuz
    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.
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    Article
    Upper Bounds for the Blow Up Time for the Kirchhoff-Type Equation
    (Ankara Univ, Fac Sci, 2023) Dinc, Yavuz; Piskin, Erhan; Tunc, Cemil
    . 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.