Nonlinear differential inequality
N. S. Hoang, A. G. Ramm
TL;DR
This paper introduces a nonlinear differential inequality, providing growth/decay estimates for solutions, with applications to dynamical systems, nonlinear evolution equations, and the global existence of solutions to nonlinear PDEs.
Contribution
It formulates a new nonlinear inequality and derives solution estimates, aiding the analysis of dynamical systems and nonlinear PDEs.
Findings
Derived bounds on solution growth and decay rates.
Applicable to global existence problems in nonlinear PDEs.
Provides a tool for analyzing nonlinear evolution equations.
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.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Nonlinear Partial Differential Equations