Nonlinear differential inequality
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Abstract
A 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.
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Nonlinear inequality, Dynamical Systems Method (DSM), Stability
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