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Browsing by Author "Gür, Şevket"

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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 ...
Continuous dependence of solutions to fourth-order nonlinear wave equation

Ipek Gulec; Gür, Şevket (HACETTEPE UNIV, FAC SCI, 2016)

This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.
Continuous dependence of solutions to the strongly damped nonlinear Klein-Gordon equation

Gür, Şevket; Mesude Elif Uysal (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)

This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation. It is proved that the solution depends continuously on changes in the damping terms, ...
Energy Decay and Continuous Dependence for Damped Semilinear Wave Equation

Sevket Guer; Gür, Şevket; Metin Yaman (SPRINGER INTERNATIONAL PUBLISHING AG, 2019)

We study uniform stabilization and the continuous dependence of solutions to an initial and boundary value problem for a nonlinear hyperbolic equation with (possibly strong) linear damping.
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 ...
Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation

Gür, Şevket (HINDAWI PUBLISHING CORPORATION, 2010)

This paper studies initial boundary value problem of fourth-order nonlinear marine riser equation. By using multiplier method, it is proven that the zero solution of the problem is globally asymptotically stable.
Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation

Gür, Şevket; Ipek Gulec (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2016)

In this paper the initial-boundary value problem for a nonlinear strongly damped wave equation is considered. We analyze the structural stability of solutions of the nonlinear strongly damped wave equation with coefficients ...
Structural stability and decay estimate for marine riser equations

Gür, Şevket (PERGAMON-ELSEVIER SCIENCE LTD, 2011)

We study the problem of the continuous dependence of weak and strong solutions to the initial boundary value problem for multidimensional marine riser equations on the parameters of the equation. The continuous dependence ...