New general solutions of ordinary differential equations and the methods of solving the boundary-value problems
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.
How to Cite
Dzhumabaev, D. 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.