Results 11 to 20 of about 80 (79)
Open Mathematics, 2023 In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
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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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Monotonicity formulas for coupled elliptic gradient systems with applications
Advances in Nonlinear Analysis, 2019 Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
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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
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On the exponential growth of solutions to non‐linear hyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 539-545, 1989., 1989 Existence‐uniqueness theorems are proved for continuous solutions of some classes of non‐linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.
H. Chi +3 more
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Existence and stability of fourth-order nonlinear plate problem
Nonautonomous Dynamical Systems, 2019 In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
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A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations
Results in Physics, 2019 In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony equations recently introduced are analyzed with the introduction of the spatial and temporal fractional order derivatives using conformable fractional derivative.
Aly R. Seadawy +2 more
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Advances in Nonlinear Analysis, 2022 In this article, we study the large-time behavior of combination of the rarefaction waves with viscous contact wave for a one-dimensional compressible Navier-Stokes system whose transport coefficients depend on the temperature.
Dong Wenchao, Guo Zhenhua
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