New general solutions of ordinary differential equations and the methods of solving the boundary-value problems

  • D. S. Dzhumabaev

Abstract

UDC 517.624
New general solutions of ordinary differential equations are introduced and their properties are established. We develop new methods of solving the boundary-value problems based on the construction and solving of the systems of algebraic equations for arbitrary vectors of the general solutions. An approach to finding the initial approximation to the solution of a nonlinear boundary-value problem is proposed.
Published
25.07.2019
How to Cite
DzhumabaevD. S. “New General Solutions of Ordinary Differential Equations and the methods of Solving the Boundary-Value Problems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 7, July 2019, pp. 884-05, http://umj.imath.kiev.ua/index.php/umj/article/view/1483.
Section
Research articles