## Abstract This paper discusses a randomized logistic equation equation image with initial value __x__(0)=__x__~0~>0, where __B__(__t__) is a standard oneβdimension Brownian motion, and ΞΈβ(0, 0.5). We show that the positive solution of the stochastic differential equation does not explode at any
β¦ LIBER β¦
Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
β Scribed by Daqing Jiang; Ningzhong Shi; Xiaoyue Li
- Book ID
- 108176018
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 142 KB
- Volume
- 340
- Category
- Article
- ISSN
- 0022-247X
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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.