ABSTRACT A mathematical model and a variational method of computation of optimal
parameters for transdermal (hypodermic) medicine delivery by microneedle systems are …

Variational inequalities and operator equations in an infinite dimensional Hilbert space with
additional conditions in the terms of inclusion in the set of fixed points of a given operator are …

New iterative algorithms for solving variational inequalities in uniformly convex Banach
spaces are analyzed. The first algorithm is a modification of the forward-reflected-backward …

We consider the homogenization of non-linear diffusion problems with various boundary
conditions in periodically perforated domains. These problems are stated as variational …

Results on the convergence of sequences of solutions of non-linear equations and
variational inequalities for obstacle problems are proved. The variational inequalities and …

An iterative two-stage proximal algorithm for approximate solution of equilibrium problems in
Hadamard spaces is considered. This algorithm is an analog of the already studied two …

We consider a mixed boundary‐value problem for the Poisson equation in a thick junction
Ωε which is the union of a domain Ω0 and a large number of ε—periodically situated thin …

We consider a mixed boundary-value problem for the Poisson equation in a plane thick
junction Ω ε that is the union of a domain Ω 0 and a large number of ε-periodically located …

This paper presents a new method for constructing a third degree parametric spline curve of
C1 continuity. Like the Bèzier curve, the proposed curve is constructed and operated by …

Microneedle systems are compiled by a sufficiently large number of microneedles which are
mounted on a flat base and used for drugs injection in modern medicine. Such systems are …