Set of solutions of ordinary differential equations in stability problems

Описание

Тип публикации: научное издание

Год издания: 2020

Идентификатор DOI: 10.1007/978-3-030-38870-6_40

Аннотация: The article studies the characteristics of the sets of solutions and boundaries of the set of solutions of ordinary differential equations. These sets of solutions appear when there are known only uncertain parameters of the problem (only inequalities for this parameter are known). Estimates of solutions of ODEs are constructed basПоказать полностьюed on perturbation of the initial data or parameters of the ODE system. Formulas are obtained and investigated that make it possible to evaluate the convergence and divergence of the trajectories of the solutions of ODEs when the input data changes.

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Издание

Журнал: Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov

Номера страниц: 307-312

Издатель: Springer International Publishing

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