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Nonlinear systems' equilibrium points: Branching, blow-up and stability

... 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. The sufficient conditions of the global classical solution's existence and stabilisation at infinity to the equilibrium point are formulated. The solution can be constructed by the method of successive approximations. If the conditions of the main theorem are not satisfied, then several ...

Теги: chemical analysis , continuum mechanics , differential equations , dynamic models , dynamics , mathematical operators , chemical process , differential algebraic equations , equilibrium point , global classica


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