Results 81 to 90 of about 289 (126)

New results on asymptotic stability of time-varying nonlinear systems with applications [PDF]

In this paper, we present a converse Lyapunov theorem for the new notion of global generalized practical uniform h-stability of nonlinear systems of differential equations.
DAMAK, Hanen, HAMMAMI, Mohamed Ali, KICHA, Abir   +2 more
core   +1 more source

Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

, 2003
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
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Arbitrary decays for a viscoelastic equation [PDF]

, 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 ...
Shun-Tang Wu, Wu Shun-Tang
core   +1 more source

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

Least Energy Solutions of Semilinear Neumann Problems and Asymptotics

, 1994
1991 Mathematics Subject Classification. 35B40, 35J20, 35J65.The asymptotic behavior of the least energy solutions of the semilinear Neumann problems involving critical Sobolev exponent on a bounded domain in R^4 is studied. The effect of the geometry of
Pan, Xing-Bin, Xu, Xingwang
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© Hindawi Publishing Corp. REMARKS ON NONLINEAR BIHARMONIC EVOLUTION EQUATION OF KIRCHHOFF TYPE IN NONCYLINDRICAL DOMAIN

, 2002
We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the
L. A. Medeiros, H. R. Clark, J. Límaco
core  

Propagation of calcium waves in a bistable buffered system with nonlocal dispersal

Advanced Nonlinear Studies
We investigate wave propagation in a bistable buffered system with nonlocal dispersal. A central question in this problem is the effect of stationary buffers on calcium waves.
Guan Changchang, Wu Shi-Liang
doaj   +1 more source

Normalized solutions for a class of fractional Choquard equations with mixed nonlinearities

Demonstratio Mathematica
In this paper we study the following fractional Choquard equation with mixed nonlinearities:(−Δ)su=λu+αIμ∗|u|q|u|q−2u+Iμ∗|u|p|u|p−2u,x∈RN,∫RN|u|2dx=c2>0.
Chen Shaoxiong, Yang Zhipeng, Zhang Xi
doaj   +1 more source

Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

Advanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina   +4 more
doaj   +1 more source

Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment

Advances in Nonlinear Analysis
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat.
Liu Jiaxing, Wang Jinliang
doaj   +1 more source