| Volume 14, Number 4, 2024, Pages - DOI：10.11948/JAAC-2023-0433 |
| Boundary value problems for an iterative di?erential equation |
| Pingping Zhang,Wei Song |
| Keywords:Existence uniqueness iterate di?erential equation ?xed point theorems. |
| Abstract: |
| This paper discusses the solutions of an iterative di?erential equation under general boundary value conditions.
Using an auxiliary integral equation without the help of Green’s functions usually being constructed in higher order
equations, we prove the existence and uniqueness of solutions by the ?xed point theorems of Schauder and Banach,
respectively. Our theorems generalize and revise the related results. |
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