✦ LIBER ✦

Existence and stability of travelling wave solutions of competition models: A degree theoretic approach

✍ Scribed by Robert A. Gardner

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 926 KB
Volume: 44
Category: Article
ISSN: 0022-0396
DOI: 10.1016/0022-0396(82)90001-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The existence of traveling wave front so

The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction

✍ William C Troy 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 461 KB

Stability of travelling wave solutions t

Stability of travelling wave solutions to a semilinear hyperbolic system with relaxation

✍ Yoshihiro Ueda 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## Abstract We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show

Existence and stability of global regula

Existence and stability of global regular solutions for a dusty gas model

✍ G. G. Doronin; N. A. Larkin; A. J. De Souza 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB

## Abstract The initial and initial‐boundary value problems for the two‐phase model of ‘fluid‐solid particles’ media are considered. Existence, uniqueness and exponential decay of global strong solutions for small initial data are proved. Copyright © 2004 John Wiley & Sons, Ltd.

Existence of travelling wave solutions f

Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition

✍ Mads Kyed 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB 👁 1 views

## Abstract The existence of travelling wave solutions for the heat equation ∂~__t__~ __u__ –Δ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (∂__u__ /∂__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin

Existence and stability of periodic solu

Existence and stability of periodic solution of a stage-structured model with state-dependent impulsive effects

✍ Linfei Nie; Zhidong Teng; Lin Hu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 431 KB

## Communicated by M. Grinfeld A single population growth model with stage-structured and state-dependent impulsive control is proposed. By using the Poincaré map and the analogue of Poincaré's criterion, we prove the existence and the stability of positive order-1 or order-2 periodic solution. Mo

On Global Existence, Asymptotic Stabilit

On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

✍ Kosuke Ono 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB 👁 2 views

We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.