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Hyers–Ulam stability of delay differential equations of first order
Author(s) -
Huang Jinghao,
Li Yongjin
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400298
Subject(s) - mathematics , lipschitz continuity , delay differential equation , stability (learning theory) , bounded function , interval (graph theory) , differential equation , order (exchange) , mathematical analysis , combinatorics , finance , machine learning , computer science , economics
In this paper, we establish the Hyers–Ulam stability of delay differential equations in the form ofx ′ ( t ) = f ( t , x t )with a Lipschitz condition on a bounded and closed interval by using successive approximation method.
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