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Browsing by Author "Dinç, Yavuz"

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    Buluş Yöntemi İle Öğretimin Üslü Sayılar Konusunu Öğrenme Düzeyine Ve Erişiye Etkileri
    (Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 2003) Dinç, Yavuz; BİLGİN, Tunay; 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
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    Citation - Scopus: 2
    Lower and upper bounds for the blow up time for generalized heat equations with variable exponents
    (Palestine Journal of Mathematics, 2021) Dinç, Yavuz; Dinç, Yavuz; Tunç, 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
    This paper deals with the initial-boundary value problem for generalized heat equations with variable exponent in a bounded domain. Under suitable conditions, we discuss the lower and upper bounds for the blow up time of solutions.
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    Citation - WoS: 10
    Citation - Scopus: 11
    Qualitative properties of certain non-linear differential systems of second order
    (TAYLOR & FRANCIS LTD, 2017) Dinç, Yavuz; 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.
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    Qualitative properties of certain non-linear differential systems ofsecond order
    (Elsevier, 2017) Dinç, Yavuz; DİNÇ, 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.
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    Upper Bounds for the Blow Up Time for the Kirchhoff-Type Equation
    (Ankara Univ, Fac Sci, 2023) Dinç, 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.