Results 11 to 20 of about 77 (76)

Standing waves to upper critical Choquard equation with a local perturbation: Multiplicity, qualitative properties and stability

Advances in Nonlinear Analysis, 2022
In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
doaj   +1 more source

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

(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations

Advances in Nonlinear Analysis, 2014
We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
doaj   +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
wiley   +1 more source

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
doaj   +1 more source

Polynomial stability of the wave equation with distributed delay term on the dynamical control

Nonautonomous Dynamical Systems, 2021
Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
doaj   +1 more source

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
wiley   +1 more source

Stability of coupled systems

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, Assia Benabdallah, Djamel Teniou   +2 more
wiley   +1 more source

Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

Results in Physics, 2021
The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater, A. El-Sayed Ahmed, M.A. El-Shorbagy   +2 more
doaj   +1 more source

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, H. Poorkarimi, J. Wiener, S. M. Shah   +3 more
wiley   +1 more source