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On the Occasion of the 80th Birthday of Professor N. A. Sidorov

Falaleev MV, Romanova OA, Sinitsyn AV, Dreglea AI, Leont'ev RY, Sidorov DN On the Occasion of the 80th Birthday of Professor N. A. Sidorov // BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS. Vol.32. 2020. P.134-143. DOI: 10.26516/1997-7670.2020.32.134 The paper presents a brief overview of the main areas of research and educational activities of the founder of the Irkutsk school on the theory of differential operator equations with the irreversible operator in the main part, the professor...

Теги: nonlinear analysis , plasma , vlasov-maxwell equation , bifurcation , regularization , lyapunov-schmidt method , partial-differential-equations , 1st kind , operator
Раздел: ИСЭМ СО РАН
Basins of Attraction and Stability of Nonlinear Systems’ Equilibrium Points

Sidorov N., Sidorov D., Li Y. Basins of Attraction and Stability of Nonlinear Systems’ Equilibrium Points // Differential Equations and Dynamical Systems. 2019. P.1-12. DOI: 10.1007/s12591-019-00511-w The system of differential and operator equations is considered. This system is assumed to enjoy an equilibrium point. The Cauchy problem with the initial condition with respect to one of the desired functions is formulated. The second function controls the corresponding nonlinear dynamic process....

Теги: bifurcation , blow-up , differential-algebraic equations , nonlinear dynamics , stability , volterra equation
Раздел: ИСЭМ СО РАН


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