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Browsing by Author "Yaman, Metin"

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Asymptotic behaviour of the solutions of inverse problems for pseudo-parabolic equations

Yaman, Metin; Gözükızıl, Ömer Faruk (ELSEVIER SCIENCE INC, 2004)

We study asymptotic proximity as t --> infinity of the Solutions of the inverse problem for a pseudo-parabolic equation with an unknown source function. The overdetermination condition is given in integral form. (C) 2003 ...
Continuous Dependence for the Pseudoparabolic Equation

Yaman, Metin; Gür, Şevket (HINDAWI PUBLISHING CORPORATION, 2010)

We determine the continuous dependence of solution on the parameters in a Dirichlet-type initial-boundary value problem for the pseudoparabolic partial differential equation.
Continuous dependence of semilinear Petrovsky equation

Kocaman, Hüseyin; Yaman, Metin; Gür, Şevket (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)

In this study, we obtain the continuous dependence on the coefficients of solutions of semilinear Petrovsky equation. Such models are involved in various fields of mathematical physics likewise geophysical and oceanic ...
Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity

Gür, Şevket; Yaman, Metin; Yılmaz, Yalçın (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)

We consider an inverse problem for quasilinear parabolic equations with type power nonlinearity. Sufficient conditions on initial data for blow up result are obtained with positive initial energy. Over determination condition ...
Long-time behaviour of the solutions to inverse problems for parabolic equations

Gözükızıl, Ömer Faruk; Yaman, Metin (ELSEVIER SCIENCE INC, 2007)

We study long-time behaviour as t -> infinity of the solutions of the inverse problem for parabolic equation with an unknown source function. The overdetermination condition is given in integral form. Under some conditions, ...
Parabolik denklemler için ters problemlerin çözümünün asimptotik davranışı

Yaman, Metin (Sakarya Üniversitesi, 2002)

Asimptotik davranış, ters problem, ek integral şartı, parabolik ve pseudo-parabolik denklem. Son yıllarda matematiksel fizik alanında önemli mesafeler katedilmiştir. Özellikle de fiziksel olayların matematik modellemesi ...
Stokastik diferansiyel denklemler ve portföy analizine uygulaması

Yaman, Metin (Sakarya Üniversitesi, 1996)

ÖZET Anahtar Kelimeler: Stokastik Integral, İto Formülü, Stokastik Diferansiyel Denklem, Wiener Süreci Bu çalışmada öncelikle Wiener sürecine göre stokastik integral tanımı verilip, S(t) stokastik sürecine göre dS(t) = ...