Some nonlinear inequalities and applications

Details Some nonlinear inequalities and applications Some nonlinear inequalities and applications

2010-03-22

arxiv.org/abs/1003.4051v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ 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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