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Department : Uygulamalı Matematik ... ✕Subject Headings : stability ✕
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SOLUTION OF RATIONAL DIFFERENCE EQUATION

Burak OĞUL

The behavior of the solutions of the following system of difference equations is examined, [Formula Presented] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations. Keyword: limit; Rational difference equation; solution; stability

Article 2021 Fen Fakültesi Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms28 ( 2 ) 33 Views
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Existence, Decay, and Blow-up of Solutions for a Weighted m -Biharmonic Equation with Nonlinear Damping and Source Terms

Ercan ÇELİK

In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao's inequality. Finally, we proved the blow-up of solutions in finite time.

Article 2024 Fen Fakültesi Journal of Function Spaces2024 12 Views
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Three–dimensional Stability Loss Problems Of Local Near-surface Buckling Of A System Consisting Of An Elastıc Bond Layer And An Elastic Covering Layer

Elman HAZAR

Within the framework of a piecewise homogenous body model and by the use of a three-dimensional linearized theory of stability (TLTS), the local near-surface buckling of a material system consisting of a half-space which is covered by the single layer and half-space materials is elastic. The equations of TLTS are obtained from the three-dimensional geometrically nonlinear equations of the theory of viscoelasticity by using the boundary form perturbations technique. By employing the Laplace and Fourier transform, a method for solving the problem is developed. Numerical results on the critical c ...More

Article 2014 Fen Fakültesi MANAS Journal of Engineering (MJEN)2 ( 2 ) 73 Views
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