Abstract
In this article, by utilizing the monotone iterative strategy coupled with the strategy of upper and lower solutions, we get the existence of extremal iteration solution to generalized differential equations under boundary conditions of type Riemann-Stieltjes, which at the same time provides the principle of comparison for these solutions. The results obtained are illustrated with appropriate examples.
| Original language | English |
|---|---|
| Pages (from-to) | 57-67 |
| Number of pages | 11 |
| Journal | Journal of Mathematical Control Science and Applications |
| Volume | 7 |
| Issue number | 1 |
| State | Published - 11 Feb 2021 |
Bibliographical note
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Keywords
- Generalized differential equations
- Monotone iterative method
- Riemann-Stieltjes integral
- Upper and lower solutions