Hoang, N. S.Ramm, Alexander G.2012-06-122012-06-122011-10-01http://hdl.handle.net/2097/13931A nonlinear differential 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 in Banach spaces. It is applied to a study of global existence of solutions to nonlinear partial differential equations.This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).Nonlinear inequalityDynamical Systems Method (DSM)StabilityArticle (publisher version)