Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Gronwall-Bellman-Bihari's type
- Title
- Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Gronwall-Bellman-Bihari's type
- Author
- 박춘길
- Keywords
- Hyers-Ulam stability; Hyers-Ulam-Rassias stability; Nonlinear delay differential equations; Picard operator; Gronwall-Bellman-Bihari's integral inequality
- Issue Date
- 2019-06
- Publisher
- ELSEVIER SCIENCE INC
- Citation
- APPLIED MATHEMATICS AND COMPUTATION, v. 350, Page. 60-65
- Abstract
- In this paper, we prove the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of a class of higher order nonlinear delay differential equations with multiple bounded variable delays on a compact interval. Result of existence and uniqueness of solution is obtained by fixed point approach. Meanwhile, for the first time, integral inequality of Gronwall-Bellman-Bihari's type with delay is applied to prove the stability theorem which made our results more generalized and interesting. (C) 2019 Elsevier Inc. All rights reserved.
- URI
- https://www.sciencedirect.com/science/article/pii/S0096300319300220?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/151952
- ISSN
- 0096-3003; 1873-5649
- DOI
- 10.1016/j.amc.2019.01.014
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML