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.

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.

The inverted-U hypothesis which so influenced research on regional income inequality is obsolete and does not predict or explain the recent rise in regional inequality. We argue that the regional dynamics literature on polarization, polarization reversal and spatial restructuring offers more powerful explanations to changes in regional income inequality. In addition to the conventional approach...

GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix inequality relaxations of the (generally non-convex) global optimization problem of minimizing a multivariable polynomial function subject to polynomial inequality, equality or integer constraints. It generates a series of lower bounds monotonically converging to the global optimum. Global optimality is detected and is...

A quadratic 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.

This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...

The current era is characterized by simultaneous increase in many countries’ income inequalities and a decline in global inequality. People’s perception of inequality is shown to depend on how much they value absolute income vs. their national income position.

introduction: controversy over the relationship of gender inequality with health and its dimensions is not new concept for many years researchers have been discussing whether inequality could determine different levels of health in men and women. this paper examined the linkage between gender inequality in four key domains, economy, education, politics, and health and prevalence of hiv.   metho...