Convergence conditions for extreme solutions of an impulsive differential system
In this paper, we discuss the existence and convergence conditions of extreme solutions for a first-order differential boundary value system with an impulsive integral condition. By employing quasi-linear and monotone iterative methods, the existence, uniform convergence, and quadratic convergence for solution sequences are obtained.
Authors
- Yilan Liao (ORCID: https://orcid.org/0000-0001-7369-7353)
- Bing Hu (ORCID: https://orcid.org/0000-0002-9898-8656)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025481
- Citations
- 22
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 82.00