In this paper we present an integral inequality and show how it can be used to study certain differential equations. Namely, we will see how to establish (global) existence results and determine the decay rates of solutions to abstract semilinear problems, reaction diffusion systems with time dependent coefficients and fractional differential problems. A nonlinear singular version of the Gronwa...

Previous research has revealed much global convergence over the past several decades in life expectancy at birth and in infant mortality, which are closely linked. But trends in the variance of length of life, and in the variance of length of adult life in particular, are less well understood. I examine life-span inequality in a comprehensive panel of 180 countries observed in 1970 and 2000. Co...

As the international community discusses the post-2015 development agenda, it is now clear that inequality will form an integral part of the sustainable development goals. Empirical evidence shows that increasing income inequality has been a feature of the world economy since the early 1980s. The current pattern of global income distribution is extremely unequal, both between countries and with...

Regional Income Inequality in Selected Large Countries Income inequality can be measured at different levels of aggregation such as global, continental, international and national levels. Here we consider income inequality at the national level but the focus is on the within country regional inequality. Regional inequality in income distribution in a selection of large countries measured by the...

Abstract The rise in inequality in the last two decades has affected most developed economies. The systemic nature of this inequality is the focus of this paper. A combination of product market internationalization, financial globalization and technological changes favoring large organizations created asymmetric pressure on the two ends of the distribution of market incomes, resulting in greatl...

Analysing a large sample of 1980–2004 unbalanced panel data, the current study presents comparative global evidence on the role of (income) inequality in poverty reduction. The evidence involves both an indirect channel via the tendency of high inequality to decrease the rate at which income is transformed to poverty reduction and the tendency of rising inequality to increase poverty. Based on ...

Although movements of capital, goods and services are growing in importance, workers movements are impeded by restrictive policies in rich countries. Such regulations carry substantial economic costs for developing countries, and prevent global inequality from declining. Even if rich countries are averse to global inequality, a single country lacks incentives to welcome additional migrants as i...

The present study employs recent World Bank data to shed light, in a global context, on the transformation of income and inequality changes to poverty reduction for a large number of countries in sub Saharan Africa (SSA). The study begins by shedding light on SSA’s progress on poverty. Next, it presents data on how various African countries have fared on poverty incidence relative to other coun...

This paper introduces and analyses a new algorithm for minimizing a convex function subject to a finite number of convex inequality constraints. It is assumed that the Lagrangian of the problem is strongly convex. The algorithm combines interior point methods for dealing with the inequality constraints and quasi-Newton techniques for accelerating the convergence. Feasibility of the iterates is ...

This paper presents an application of canonical duality theory to the solution of contact problems with Coulomb friction. The contact problem is formulated as a quasi-variational inequality whose solution is found by solving its Karush– Kuhn–Tucker system of equations. The complementarity conditions are reformulated by using the Fischer–Burmeister complementarity function, obtaining a non-conve...