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arXiv · 1003.4051

Some nonlinear inequalities and applications

N. S. Hoang·A. G. Ramm
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Abstract

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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N. S. Hoang, A. G. Ramm. 2010-03-22. Some nonlinear inequalities and applications. https://arxiv.org/abs/1003.4051

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