English

Nonlinear differential inequality

Classical Analysis and ODEs 2010-01-29 v1

Abstract

A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to a study of global existence of solutions to nonlinear PDE.

Keywords

Cite

@article{arxiv.1001.5254,
  title  = {Nonlinear differential inequality},
  author = {N. S. Hoang and A. G. Ramm},
  journal= {arXiv preprint arXiv:1001.5254},
  year   = {2010}
}
R2 v1 2026-06-21T14:40:53.717Z