HYERS-ULAM STABILITY FOR AN NTH ORDER DIFFERENTIAL EQUATION USING FIXED POINT APPROACH
- Authors
- Murali, Ramdoss; Park, Choonkil; Selvan, Arumugam Ponmana
- Issue Date
- Apr-2021
- Publisher
- WILMINGTON SCIENTIFIC PUBLISHER, LLC
- Keywords
- Hyers-Ulam stability; Hyers-Ulam-Rassias stability; fixed point method; differential equation
- Citation
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, v.11, no.2, pp.614 - 631
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
- Volume
- 11
- Number
- 2
- Start Page
- 614
- End Page
- 631
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142099
- DOI
- 10.11948/20190093
- ISSN
- 2156-907X
- Abstract
- In this paper, we prove the Hyers-Ulam stability and the HyersUlam-Rassias stability of the nth order differential equation of the form x((n))(t) = f(t, x(t)) and x((n))(t) = f (t, x(t), x' (t), x '' (t), ..., x((n-1))(t)) with initial conditions x(a) = x(0), x' (a) = x(1), x '' (a) = x(2), ..., x((n-1))(a) = x(n-1) for all t is an element of I = [a, b] subset of R and x is an element of C-(n)( I) by using fixed point method in the sense of Cadariu and Radu.
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