Some nonlinear inequalities and applications

2010/03/22 by N. S. Hoang, A. G. Ramm, Hoang, N. S. +1
Mathematics · #34D20 #34G20 #47F05 #47H20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:34D20 #msc:34G20 #msc:47F05 #msc:47H20

paper · pdf · doi:10.48550/arxiv.1003.4051

16 pages

arxiv created 2010/03/22 · arxiv updated 2010/03/23

Abstract

Sufficient conditions are given for the relation lim_t→∞y(t) = 0 to hold, where y(t) is a continuous nonnegative function on [0,1) satisfying some nonlinear inequalities. The results are used for a study of large time behavior of the solutions to nonlinear evolution equations. Example of application is given for a solution to some evolution equation with a nonlinear partial differential operator.

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