Results 41 to 50 of about 80 (79)

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

open access: yesOpen Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela   +2 more
doaj   +1 more source

The ill-posedness of the (non-)periodic traveling wave solution for the deformed continuous Heisenberg spin equation

open access: yesOpen Mathematics
Based on an equivalent derivative non-linear Schrödinger equation, we derive some periodic and non-periodic two-parameter solutions of the deformed continuous Heisenberg spin (DCHS) equation.
Zhong Penghong, Chen Xingfa, Chen Ye
doaj   +1 more source

On the weakly degenerate Allen-Cahn equation

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
doaj   +1 more source

Superlensing using complementary media and reflecting complementary media for electromagnetic waves

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on the compactness,
Nguyen Hoai-Minh
doaj   +1 more source

Effects of anisotropic diffusion in a two-dimensional unstirred chemostat

open access: yesAdvanced Nonlinear Studies
We investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
doaj   +1 more source

Strong instability of standing waves for the Hartree equation with a constant magnetic field

open access: yesAdvances in Nonlinear Analysis
In this paper, we study the strong instability of standing waves for the Hartree equation with a constant magnetic field. First, we prove the existence of least action ground states for the associated stationary equation using variational methods. Second,
Mao Weifeng, Zhang Jian
doaj   +1 more source

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