Abstract
We give a new approach for the investigation of existence and construction of an approximate solutions of nonlinear non-autonomous systems of ordinary differential equations under nonlinear integral boundary conditions depending on the derivative. The constructivity of a suggested technique is shown on the example of non-linear integral boundary value problem with two solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 247-267 |
| Number of pages | 21 |
| Journal | Tatra Mountains Mathematical Publications |
| Volume | 63 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jun 2015 |
| Externally published | Yes |
Keywords
- nonlinear integral boundary conditions
- Nonlinear system of differential equations
- parametrization technique
- successive approximations