A nonlinear inequality and applications

2009/03/03 by N. S. Hoang, A. G. Ramm, А. Г. Рамм +2
Engineering · Mathematics · #47J25 #47J35 #65J15 #65J20 #65N12 #65R30 #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #math.CA #msc:47J25 #msc:47J35 #msc:65J15 #msc:65J20 #msc:65N12 #msc:65R30

paper · pdf · doi:10.48550/arxiv.0903.0554

12 pages

arxiv created 2009/03/03 · openalex publication_date 2009/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A nonlinear inequality is formulated in the paper. An estimate of the rate of 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 the study of global existence of solutions to nonlinear PDE.

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