A spatio-temporal model of megacity development that treats the megacity as an active
medium is presented. From our point of view, it is advisable to consider the process of urban …

In the paper, a boundary value problem for a singularly perturbed reaction-diffusion-
advection equation is considered in a two-dimensional domain in the case of discontinuous …

Asymptotic analysis is used to study the existence, local uniqueness, and asymptotic
Lyapunov stability of the solution to a one-dimensional nonlinear parabolic system of the …

In this paper, we consider the existence, local uniqueness, and asymptotic stability of a
solution of the boundary-layer type for a nonlinear one-dimensional initial-boundary …

An algorithm is presented for the construction of an asymptotic approximation of a stable
stationary solution to a diffusion equation system in a two-dimensional domain with a …

Используется асимптотический анализ для исследования существования, локальной
единственности и асимптотической устойчивости по Ляпунову решения одномерной …

Abstract The first Chair of Biophysics in the world science, created at the Faculty of Physics
of Lomonosov Moscow State University, has crossed the 63-year milestone of its history. Its …

Asymptotic analysis is used to study the existence, local uniqueness, and asymptotic stability
in the sense of Lyapunov of a solution of a one-dimensional nonlinear system of reaction …

We study the Lyapunov asymptotic stability of the stationary solution of the spatially one-
dimensional initial–boundary value problem for a nonlinear singularly perturbed differential …

For a singularly perturbed system consisting of the two parabolic equations ε^ 4 (Δ u-u_t)=
f,\quad ε^ 2 (Δ v-v_t)= g and given in the Cartesian product D * (0,+ ∞) of a two-dimensional …