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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 7
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Original Articles

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

Pages 1159-1168 | Received 26 Jan 2010, Accepted 18 Aug 2010, Published online: 25 Jan 2011
 

Abstract

The subject of this investigation is the qualitative properties of positive solutions of the following nonhomogeneous equation

or, after the change v = u σ, of equation
in unbounded domain R + × RN , where the term g(s) is supposed to satisfy just a lower polynomial growth condition and g′(s) > −l 1. The existence of the – global attractor for the equation (Equation1′) is proved.

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