A fixed point approach to the stability of the functional equation .
Jung, Soon-Mo, Min, Seungwook (2009)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Hyers-Ulam stability of polynomial equations.”
A fixed point approach to the stability of the functional equation .
Hyers-Ulam stability of a polynomial equation.
Li, Yongjin, Hua, Liubin (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Hyers-Ulam stability of the delay equation .
Jung, Soon-Mo, Brzdȩk, Janusz (2010)
Abstract and Applied Analysis
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A fixed point approach to the stability of a Volterra integral equation.
Jung, Soon-Mo (2007)
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Park, Choonkil, An, Jong Su (2008)
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A fixed point approach to the stability of Pexider quadratic functional equation with involution.
Pourpasha, M.M., Rassias, J.M., Saadati, R., Vaezpour, S.M. (2010)
Journal of Inequalities and Applications [electronic only]
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Bessel's differential equation and its Hyers-Ulam stability.
Kim, Byungbae, Jung, Soon-Mo (2007)
Journal of Inequalities and Applications [electronic only]
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A fixed point approach to the stability of a functional equation of the spiral of Theodorus.
Jung, Soon-Mo, Rassias, John Michael (2008)
Fixed Point Theory and Applications [electronic only]
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Notes on stability of the generalized gamma functional equation.
Kim, Gwang Hui, Xu, Bing, Zhang, Weinian (2002)
International Journal of Mathematics and Mathematical Sciences
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The Hyers-Ulam stability for two functional equations in a single variable.
Miheţ, Dorel (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Functional equation and its Hyers-Ulam stability.
Jung, Soon-Mo (2009)
Journal of Inequalities and Applications [electronic only]
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Practical Ulam-Hyers-Rassias stability for nonlinear equations
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...