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Review of Monograph”Toward General Theory of Differential – Operator and Kinetic Models” [Монография «К общей теории дифференциально-операторных и кинетических моделей»]

... monograph devoted to the state-of-the-art methods for the non-standard classes of differential operator and kinetic equations from a constructive point of view. In addition to the qualitative problems associated with the proof of existence theorems, bifurcation and blow-up of solutions of nonlinear systems, this monograph provides the formulations of the novel initial-boundary value problems in function spaces. Attention is paid to the problem of constructing asymptotic approximations of solutions ...

Теги: bifurcation , lyapunov-schmidt method , mathematical modeling , nonlinear analysis , plasma , regularization , vlasov-maxwell equation
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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