Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 10
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Original Articles

Long-time behavior of solutions of some doubly nonlinear equation

Pages 1265-1281 | Received 09 Mar 2007, Accepted 01 Aug 2007, Published online: 21 Sep 2010
 

Abstract

The subject of this investigation is the qualitative properties of solutions of the equation

where nonlinear term g is supposed to satisfy the upper polynomial growth condition of arbitrary order and g′(s) > −l. The existence of a , -global attractor for this equation with Dirichlet boundary condition is proved.

Acknowledgement

The author would like to express his sincere thanks to the referee for valuable comments and suggestions.

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