Dynamic Inequalities: Inequalities that provide bounds or estimates for dynamic systems operating over a time scale, addressing both differential and difference equations.

An equation is formed by an expression either side of an equals sign, the left hand side is equal to (i.e. has the same overall value) as the right hand side. The key to dealing with equations is ...

Research in the field of inequalities and differential equations on Lie groups and manifolds has steadily evolved, bridging classical analysis with modern geometric methods.

Using previously derived results, in our notés on convex functions, we will prove in the present paper that a pair of convex functions f and g satisfy the inequality (37) if and only if this ...

Abstract In 1957, De Giorgi proved the Hölder continuity for elliptic equations in divergence form and Moser gave a new proof in 1960. In the next year, Moser obtained the Harnack inequality. In this ...