ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Ordinary Differential Equations. Practical Work

Author(s):

Andrei V. Panteleev

Moscow aviation institute (national research university),
Mathematical cybernetics department, head of department
Doctor of physico-mathematical sciences

avpanteleev@inbox.ru

Albina S. Yakimova

Moscow aviation institute (national research university),
Mathematical cybernetics department, associate professor

as.yakimova@yandex.ru

Konstantin A. Rybakov

Moscow aviation institute (national research university),
Mathematical cybernetics department, associate professor
Candidate of physico-mathematical sciences

rkoffice@mail.ru

Abstract:

Analytical, approximate and numerical methods and algorithms for ordinary differential equations are described. The using of each method is demonstrated for typical and non-typical examples covering various applications for mechanics, economics, electrical circuits and biological systems. Particular attention is paid to the analysis and stability problems for one-dimensional and multi-dimensional dynamical systems. The textbook is written according to last requirements of Federal state educational standard. This textbook is recommended for students in natural sciences, engineering and technology, computer science and economics (for bachelor and master degrees).

Keywords

References:

  1. Panteleev A. V., Yakimova A. S., Rybakov K. A. Obyknovennye differentsial'nye uravneniya. Praktikum [Ordinary differential equations. Practical work]. Moscow, Infra-M, 2016
  2. Bortakovskiy A. S., Panteleev A. V. Lineynaya algebra v primerakh i zadachakh [Linear algebra: Examples and problems]. Moscow, Infra-M, 2015
  3. Bortakovskiy A. S., Panteleev A. V. Analiticheskaya geometriya v primerakh i zadachakh [Analytic geometry: Examples and problems]. Moscow, Infra-M, 2016
  4. Bortakovskiy A. S., Panteleev A. V. Lineynaya algebra i analiticheskaya geometriya. Praktikum [Linear algebra and analytic geometry: Practical work]. Moscow, Infra-M, 2015
  5. Panteleev A. V., Bortakovskiy A. S. Teoriya upravleniya v primerakh i zadachakh [The control theory: Examples and problems]. Moscow, Infra-M, 2016
  6. Panteleev A. V., Kudryavtseva I. A. Chislennye metody. Praktikum [Numerical methods: Practical work]. Moscow, Infra-M, 2017
  7. Panteleev A. V., Yakimova A. S., Rybakov K. A. Obyknovennye differentsial'nye uravneniya. Prakticheskiy kurs [Ordinary differential equations. Practical course]. Moscow, Logos, 2010

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