The main objective of this work is to study the concept of limit exploring its properties and their applications in various segments of the fields that use this notion. Initially we do a historical analysis, then we recall ...

We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of using suitable Lagrangian and isotropic ...

We establish subdifferential calculus rules for the sum of convex functions defined on normed spaces. This is achieved by means of a condition relying on the continuity behaviour of the inf-convolution of their corresponding ...

We study existence questions and qualitative properties of solutions to variational problems related to minimization of geometric quantities, such as generalized notions of length of curves and of the area of surfaces, in ...

The optimal control problem for the hydrogen evolution reaction (HER) system is posed for different cost objectives and admissible control strategies. The solution for the set-point-change process is given in analytical ...

The present note deals with a methodology for development of compact analytical schemes, for the derivation of boundary value problems, which describe the statical and dynamical behaviours of plates with complicating ...