On long-time behaviour of the positive solutions of nonhomogeneous non-Newtonian equation

被引：1

作者：

Novruzov, Emil ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, Ankara, Turkey

来源：

APPLICABLE ANALYSIS | 2011年 / 90卷 / 07期

关键词：

nonlinear degenerate equation; global attractor; finite speed of propagation of perturbations; DEGENERATE PARABOLIC EQUATIONS; COMPACT ATTRACTORS; GLOBAL ATTRACTORS; DIFFUSION; EXISTENCE;

D O I：

10.1080/00036811.2010.524153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The subject of this investigation is the qualitative properties of positive solutions of the following nonhomogeneous equation [image omitted] or, after the change v = u sigma, [image omitted] of equation [image omitted] in unbounded domain R+ x RN, where the term g(s) is supposed to satisfy just a lower polynomial growth condition and g'(s) -l1. The existence of the [image omitted] - global attractor for the equation (1') is proved.

引用

页码：1159 / 1168

页数：10

共 19 条

[1]

Ahmad N., 1969, J. Hyd. Div. Proc. ASCE, V95, P1847, DOI [10.1061/jyceaj.0002193, DOI 10.1061/JYCEAJ.0002193, 10.1061/JYCEAJ.0002193]

[2]

[Anonymous], 1992, Studies in Mathematics and its Applications

[3]

[Anonymous], 1988, APPL MATH SCI

[4] ATTRACTORS OF PARTIAL-DIFFERENTIAL EVOLUTION-EQUATIONS IN AN UNBOUNDED DOMAIN [J].