Mathematical modelling of unemployment dynamics attempts to predict the probability a job seeker finding as function time. This is typically achieved by using information in records. These records are right censored, making survival analysis suitable approach for parameter estimation. The proposed model uses deep artificial neural network (ANN) non-linear hazard function. Through embedding, hig...

The nonlinear Schrodinger equation with periodically varying nonlinearity coefficient thatdescribes matter-wave soliton in Bose-Einstein Condensation (BEC) and optical solitons isconsidered analytically. Variational approach is applied on the derived averaged equationwhich describes nonlinearity-managed solitons. A good agreement between analytical solutions obtained by means of variational ana...

The purpose of this study is to apply composition duality methods in the qualitative analysis of evolution linear mixed variational problems. Primal and dual evolution mixed formulations are considered, as well as corresponding macro-hybrid variational models for parallel computing. The well-posedness, stability and convergence analysis of macro-hybrid mixed semi-discrete approximations is perf...

The aim of the session is to present state-of-the-art and current research directions in variational analysis and in applications to equilibrium problems. Variational analysis encompasses a large area of modern mathematics, including the classical calculus of variations, the theories of perturbation, approximation, subgradient, set convergence, variational inequalities and partial di↵erential e...