An Existence of an Isolated Solution to Nonlinear Two-Point Boundary Value Problem with Parameter
Minglibayeva B.B. Assanova A.T.
March 2021Pleiades journals
Lobachevskii Journal of Mathematics
2021#42Issue 3587 - 597 pp.
Abstract: The nonlinear two-point boundary value problem with parameter for systems of ordinary differential equations is investigated by the parametrization method. The method consists in partition of the interval apart, the introduction of additional parameters and reducing the original problem to the equivalent multi-point boundary value problem with parameters. The algorithms for finding a solution to the equivalent boundary value problem are constructed. The conditions for convergence of the algorithms that ensure the solvability of nonlinear two-point boundary value problem with parameter are obtained. Definition of the isolated solution to nonlinear two-point boundary value problem with parameter, which is a modification of the well-known definition for the nonlinear two-point boundary value problem without parameter, is introduced.
isolated solution , nonlinear two-point boundary value problem with parameter , ordinary differential equations , parametrization method , solvability
Text of the article Перейти на текст статьи
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026