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Andrei D. Polyanin
Researcher at Russian Academy of Sciences
Publications - 188
Citations - 5410
Andrei D. Polyanin is an academic researcher from Russian Academy of Sciences. The author has contributed to research in topics: Nonlinear system & Separation of variables. The author has an hindex of 25, co-authored 182 publications receiving 4888 citations. Previous affiliations of Andrei D. Polyanin include MAMI Moscow State Technical University & Bauman Moscow State Technical University.
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Nonlinear partial differential equations with delay: linear stability/instability of solutions, numerical integration
Vsevolod G. Sorokin,Vsevolod G. Sorokin,Andrei D. Polyanin,Andrei D. Polyanin,Andrei D. Polyanin +4 more
TL;DR: In this paper, conditions for linear stability and instability of stationary solutions of reaction-diffusion equations and conditions for the instability of solutions of more complicated equations with delay are formulated, and a nonstationary solution of the model initial-boundary value problem with delay and quadratic nonlinearity is investigated for stability/instability.
Posted Content
Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs
TL;DR: In this paper, the authors consider quasi-homogeneous systems of first-order nonlinear ODEs and homogeneous second-order ODE systems that contain arbitrary functions of several arguments.