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Polynomial asymptotic stability of damped stochastic differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 The paper studies the polynomial convergence of solutions of a scalar nonlinear It\^{o} stochastic differential equation\[dX(t) = -f(X(t))\,dt + \sigma(t)\,dB(t)\] where it is known, {\it a priori}, that $\lim_{t\rightarrow\infty} X(t)=0$, a.s.
John Appleby, D. Mackey
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Energy Decay Estimates of a Timoshenko System with Two Nonlinear Variable Exponent Damping Terms
Mathematics, 2023 This paper is concerned with the asymptotic behavior of the solution of a Timoshenko system with two nonlinear variable exponent damping terms. We prove that the system is stable under some specific conditions on the variable exponent and the equal wave ...
Adel M. Al-Mahdi +1 more
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Alexandria Engineering Journal, 2020 In this paper, a polynomial decay rate of Kirchhoff’s nonlinear viscoelastic viscoelastic equation solution related with Balakrishnan-Taylor dissipation solution and logarithmic source terms is obtained, where we obtain the result of energy decay of ...
Salah Boulaaras
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Dynamics of a new thermoelastic Timoshenko system with second sound
Results in Applied Mathematics, 2021 This work studies the optimal and general stability of a thermoelastic Timoshenko system with second sound. More succinctly, under some assumptions on the parameters of the system, we derive an optimal and general decay result for the solution energy of ...
Cyril Dennis Enyi
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Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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Stability Result for a Kirchhoff Beam Equation with Variable Exponent and Time Delay
Universal Journal of Mathematics and Applications, 2022 This paper is concerned with a stability result for a Kirchhoff beam equation with variable exponents and time delay. The exponential and polynomial stability decay are proved based on Komornik's inequality.
Hazal Yüksekkaya +4 more
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Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper studies the asymptotic growth and decay properties of solutions of the stochastic pantograph equation with multiplicative noise. We give sufficient conditions on the parameters for solutions to grow at a polynomial rate in $p$-th mean and in ...
John Appleby, Evelyn Buckwar
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General decay synchronization of delayed BAM neural networks with reaction–diffusion terms
Advances in Difference Equations, 2020 In this paper, general decay synchronization of delayed bidirectional associative memory neural networks with reaction–diffusion terms is studied. First, a useful lemma is introduced to determine the general decay synchronization of considered systems ...
Rouzimaimaiti Mahemuti +2 more
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A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings
Journal of Function Spaces, 2022 In this work, we consider a swelling porous system where the damping terms are on the boundary. We establish an explicit and general decay result, without imposing restrictive growth assumption near the origin on the damping terms.
Adel M. Al-Mahdi +2 more
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Results in Applied Mathematics, 2021 The present paper investigates the stability of a one-dimensional thermoelastic-Bresse system, where viscoelastic damping is acting on the vertical angle displacement and thermal dissipation governed by Maxwell–Cattaneo’s law is effective on the shear ...
Soh Edwin Mukiawa
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