Results 31 to 40 of about 942 (96)

Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms

Advances in Nonlinear Analysis, 2018
In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
doaj   +1 more source

Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities

Advances in Nonlinear Analysis, 2015
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e.
Bhattarai Santosh
doaj   +1 more source

A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM

Forum of Mathematics, Sigma, 2015
We introduce a novel solution concept, denoted ${\it\alpha}$-dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with ...
KATRIN GRUNERT, HELGE HOLDEN, XAVIER RAYNAUD   +2 more
doaj   +1 more source

Spectral Theory and Nonlinear PDE: a Survey [PDF]

arXiv, 2005
This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.
arxiv  

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

Open 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, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

Stability of Solitary Waves for Three Coupled Long Wave - Short Wave Interaction Equations [PDF]

arXiv, 2009
In this paper we consider a three-component system of one dimensional long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions using variational methods.
arxiv  

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Stabilization by switching control methods [PDF]

arXiv, 2011
In this paper we consider some stabilization problems for the wave equation with switching. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula and some energy estimates.
arxiv  

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  

Some remarks on the qualitative questions for biharmonic equations [PDF]

arXiv, 2013
In this article, we obtain several interesting remarks on the qualitative questions such as stability criteria, Morse index, Picone's identity for biharmonic equations.
arxiv