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Ukrainian Mathematical Journal

, Volume 71, Issue 7, pp 1006–1031 | Cite as

New General Solutions of Ordinary Differential Equations and The Methods for The Solution of Boundary-Value Problems

  • D. S. DzhumabaevEmail author
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New general solutions of ordinary differential equations are introduced and their properties are established. We develop new methods for the solution of boundary-value problems based on the construction and solution of the systems of algebraic equations for arbitrary vectors of the general solutions. An approach to finding the initial approximation to the required solution of a nonlinear boundary-value problem is proposed.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and Mathematical Simulation, Kazakhstan Ministry of Education and ScienceInternational University of Information Technologies, Al-Farabi Kazakh National UniversityAlmatyKazakhstan

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