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We improve the available necessary conditions and sufficient conditions for the Dstability and additive D-stability of matrices. We define these dynamical properties with respect to a finite… (More)
This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions.… (More)
We study a nonlinear system of two elliptic differential equations with nonlinearities depending on a product of powers of the unknown functions. Sufficient conditions for the system to be reducible… (More)
In this paper, we consider diffusion equations with a power-type coefficient and nonlinear source. We pay the main attention to constructing exact solutions in terms of the Lambert function. We… (More)
This chapter considers the results of a geochemical study of the suspended matter (SM) in the snow cover on the ice in Lake Baikal, and its probable sources. We develop the minimization of a function… (More)
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 diffusion in… (More)