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Doubly perturbed neutral stochastic functional equations
journal contribution
posted on 2023-05-16, 23:55 authored by Hu, L, Ren, YongIn this paper, we prove the existence and uniqueness of the solution to a class of doubly perturbed neutral stochastic functional equations (DPNSFEs in short) under some non-Lipschitz conditions. The solution is constructed by successive approximation. Furthermore, we give the continuous dependence of the solution on the initial value by means of the corollary of Bihari inequality.
History
Publication title
Journal of Computational and Applied MathematicsVolume
231Pagination
319-326ISSN
0377-0427Department/School
School of Natural SciencesPublisher
Elsevier Science BVPlace of publication
Amsterdam, NetherlandsRights statement
The definitive version is available at http://www.sciencedirect.com Copyright © 2009 Elsevier B.V. All rights reserved.Repository Status
- Restricted