Criteria for the existence of an isolated solution of a nonlinear boundary-value problem
A nonlinear two-point boundary-value problem for an ordinary differential equation is studied by the method of parametrization. We construct systems of nonlinear algebraic equations that enable us to find the initial approximation to the solution to the posed problem. In terms of the properties of c...
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2018
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1561 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Summary: | A nonlinear two-point boundary-value problem for an ordinary differential equation is studied by the method of parametrization.
We construct systems of nonlinear algebraic equations that enable us to find the initial approximation to the solution
to the posed problem. In terms of the properties of constructed systems,we establish necessary and sufficient conditions for
the existence of an isolated solution to the boundary-value problem under consideration. |
|---|