Results 11 to 20 of about 126 (121)

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, Khalid K. Ali, R.I. Nuruddeen   +2 more
doaj   +2 more sources

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 p-laplace system with nonlocal sources and inner absorptions

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, Mu Chunlai, Zheng Pan, Zhang Yan   +3 more
doaj   +1 more source

General stabilization of a thermoelastic systems with a boundary control of a memory type

, 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, BENSERIDI, Hamid, SEMCHEDINE, Nesrine   +2 more
core   +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

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

Existence and stability of fractional differential equations involving generalized Katugampola derivative

, 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.
core   +1 more source

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