Дослідження присвячено розробці нових математичних засобів для визначення
розподілу в просторі та часі техногенного навантаження на атмосферне повітря в …

We consider one-dimensional second-order partial differential equations describing waves
in inhomogeneous and nonlinear media. Contact transformations and Euler differential …

Operation of oil and gas wells and unforeseen emergencies are accompanied by
disturbances in natural state of the atmosphere, soils, reservoirs. It threatens personnel and …

We study a nonlinear reaction–diffusion system modeled by a system of two parabolic-type
equations with power-law nonlinearities. Such systems describe the processes of nonlinear …

Algorithms for solving linear PDEs implemented in modern computer algebra systems are
usually limited to equations with two independent variables. In this paper, we propose a …

In the paper, the Goursat problem—classification of nonlinear hyperbolic differential
equations possessing two characteristic invariants—is considered. An algorithm for finding …

Для обеспечения устойчивого положения и требуемого направления движения
летательного аппарата по заданной траектории в корпус твердотопливного ракетного …

Differential algebra of convergent power series that depend on an arbitrary finite number of
variables is considered. The concept of a passive family of generators is defined for a …

The system of equations that describes one-dimensional polytropic gas flows is considered.
The invariants up to the second order of characteristics of the considered system of …

Изучается многомерный случай нелинейной системы реакции–диффузии,
моделируемый системой двух уравнений параболического типа со степенными …