Diana Otrocol, Veronica Ilea (2013)
Open Mathematics
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We study the Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability for a delay differential equation. Some examples are given.
Jung, Soon-Mo, Brzdȩk, Janusz (2010)
Abstract and Applied Analysis
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Kim, Byungbae, Jung, Soon-Mo (2007)
Journal of Inequalities and Applications [electronic only]
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Jung, Soon-Mo (2007)
Fixed Point Theory and Applications [electronic only]
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Kim, Gwang Hui, Xu, Bing, Zhang, Weinian (2002)
International Journal of Mathematics and Mathematical Sciences
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Jung, Soon-Mo (2007)
Abstract and Applied Analysis
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Li, Yongjin, Hua, Liubin (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Bidkham, M., Mezerji, H.A.Soleiman, Gordji, M.Eshaghi (2010)
Abstract and Applied Analysis
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Jung, Soon-Mo, Min, Seungwook (2009)
Fixed Point Theory and Applications [electronic only]
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Miura, Takeshi, Hirasawa, Go, Takahasi, Sin-Ei (2004)
International Journal of Mathematics and Mathematical Sciences
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Miheţ, Dorel (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Jin Rong Wang, Michal Fečkan (2017)
Mathematica Bohemica
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In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear...
Jung, Soon-Mo (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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