Arbitrary decays for a viscoelastic equation [PDF]
Boundary Value Problems, 2011 In this paper, we consider the nonlinear viscoelastic equation ∣ u t ∣ ρ u t t - Δ u - Δ u t t + ∫ 0 t g ( t - s ) Δ u ( s ) d s + ∣ u ∣ p u = 0 , in a ...
Wu Shun-Tang
doaj +2 more sources
Blow-up for an evolution
Boundary Value Problems, 2011 This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming +3 more
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General stabilization of a thermoelastic systems with a boundary control of a memory type [PDF]
, 2022 In this paper we consider an n-dimensional thermoelastic system, in a bounded domain, where the memory-type damping is acting on a part of the boundary and where the resolvent kernel k of −gt(t)/g(0) satisfies ktt(t) ≥ γ (t) (−kt(t))p, t ≥ 0, 1 < p ...
DRABLA, Salah +2 more
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Existence and stability of fractional differential equations involving generalized Katugampola derivative [PDF]
, 2020 The present article deals with the existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative.
BHAIRAT, Sandeep P.
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On the viscoelastic equation with Balakrishnan - Taylor damping and nonlinear boundary/interior sources with variable-exponent nonlinearities [PDF]
, 2020 This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping and nonlinear boundary interior sources with variable exponents.
RAHMOUNE, Abita +1 more
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Stabilization of a population dynamic model with delay term by a boundary dynamical control [PDF]
, 2023 We consider a population dynamic system with delay term and nonlocal boundary condition. The semigroup theory combined with the Banach fixed point theorem lead to the well posedness of the problem.
TRAORE, Amidou, TRAORE, Oumar
core
Adaptive stabilization of continuous‐time systems through a controllable modified estimation model
Mathematical Problems in Engineering, Volume 2004, Issue 2, Page 109-131, 2004., 2004 This paper presents an indirect adaptive control scheme of continuous‐time systems. The estimated plant model is controllable and then the adaptive scheme is free from singularities. Such singularities are avoided through a modification of the estimated plant parameter vector so that its associated Sylvester matrix is guaranteed to be nonsingular. That
M. de la Sen
wiley +1 more source
The generalized Burgers equation with and without a time delay
International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 73-96, 2004., 2004 We consider the generalized Burgers equation with and without a time delay when the boundary conditions are periodic with period 2π. For the generalized Burgers equation without a time delay, that is, ut = vuxx − uux + u + h(x), 0 < x < 2π, t > 0, u(0, t) = u(2π, t), u(x, 0) = u0(x), a Lyapunov function method is used to show boundedness and uniqueness
Nejib Smaoui, Mona Mekkaoui
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Global attractors for two‐phase stefan problems in one‐dimensional space
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 47-66, 1997., 1997 In this paper we consider one‐dimensional two‐phase Stefan problems for a class of parabolic equations with nonlinear heat source terms and with nonlinear flux conditions on the fixed boundary. Here, both time‐dependent and time‐independent source terms and boundary conditions are treated.
T. Aiki
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Abstract and Applied Analysis, Volume 1, Issue 3, Page 327-340, 1996., 1996 The exponential and asymptotic stability are studied for certain coupled systems involving unbounded linear operators and linear infinitesimal semigroup generators. Examples demonstrating the theory are also given from the field of partial differential equations.
Farid Ammar Khodja +2 more
wiley +1 more source