An existence and uniqueness result is established for a general class of variational inequalities for parabolic partial differential equations of the form ∂ u/∂ t+A(u)+g(u)=f with g nondecreasing but ...

In this article, some new generalized nonlinear versions are established for integral and discrete analogues of inequalities, with advanced arguments that provide explicit bounds on unknown functions.

This paper examines life-cycle earnings risk and income inequality in Japan using municipal administrative tax records covering the period 2011–2021. We estimate an age-dependent quantile model that ...