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Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Gronwall-Bellman-https://www.sciencedirect.com/science/article/pii/S0096300319300220?via%3DihubBihari's type
- Authors
- Zada, Akbar; Ali, Wajid; Park, Choonkil
- Issue Date
- Jun-2019
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Hyers-Ulam stability; Hyers-Ulam-Rassias stability; Nonlinear delay differential equations; Picard operator; Grönwall-Bellman-Bihari’s integral inequality
- Citation
- APPLIED MATHEMATICS AND COMPUTATION, v.350, pp.60 - 65
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS AND COMPUTATION
- Volume
- 350
- Start Page
- 60
- End Page
- 65
- ISSN
- 0096-3003
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)