Problems without initial conditions for evolution equations and variational inequalities appear in the modeling of different non-stationary processes within many fields of science, such as ecology, ...

Variational problems in phase transition systems centre on energy functionals that balance interfacial costs and bulk or nonlocal interactions to determine collective patterns of coexisting phases.

We consider the nonlinear boundary value problems for elliptic partial differential equations and using a maximum principle for this problem we show uniqueness and continuous dependence on data. We ...

Abstract: Traditional variational methods face difficulties in extracting fault information from noisy signals. They often struggle to balance minimizing residual energy and suppressing mode aliasing, ...

Abstract: We discuss a fixed-endpoint problem in the calculus of variations for which there is a continuum of piecewise-linear solutions of the Euler-Lagrange equation, each providing a weak local ...

Department of Mathematics, University of Lagos, Lagos, Nigeria. Department of Mathematics, Yaba College of Technology, Lagos, Nigeria. Department of Mechanical Engineering, Yaba College of Technology, ...

This repository contains a MATLAB implementation of the Bregman ADMM for Bethe variational problem (BVP) and Quantum Bethe variational problem (QBVP). Details of the algorithm can be found in the ...