Results 41 to 50 of about 6,469 (186)
Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003 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 supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
wiley +1 more source
General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
doaj +1 more source
On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid [PDF]
, 2011 In this paper we study the quasi-static problem for a viscoelastic fluid by means of the concept of minimal state. This implies the use of a different free energy defined in a wider space of data.
Banfi +14 more
core +2 more sources
Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
wiley +1 more source
Open Mathematics, 2018 This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
doaj +1 more source
Feedback stabilization of semilinear heat equations
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 697-714, 2003., 2003 This paper is concerned with the internal and boundary stabilization of the steady‐state solutions to quasilinear heat equations via internal linear feedback controllers provided by an LQ control problem associated with the linearized equation.
V. Barbu, G. Wang
wiley +1 more source
Existence and nonexistence of entire solutions to the logistic differential equation
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 995-1003, 2003., 2003 We consider the one‐dimensional logistic problem (rαA(|u′|)u′) ′=rαp(r)f(u) on (0, ∞), u(0) > 0, u′(0) = 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0, ∞). The framework includes the case where f and p are continuous and positive on (0, ∞), f(0) = 0, and f is nondecreasing.
Marius Ghergu, Vicenţiu Rădulescu
wiley +1 more source
Open Mathematics, 2019 We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
doaj +1 more source
Sharp profiles for diffusive logistic equation with spatial heterogeneity
Advanced Nonlinear Studies, 2023 In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
doaj +1 more source
On some nonlinear Schrödinger equations in $\bbr^N$ [PDF]
arXiv, 2021 In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
arxiv