Results 21 to 30 of about 601 (125)
APPROXIMATE QUADRATIC MAPPINGS IN MODULAR SPACES
, 2017 In this article, we investigate an alternative generalized Hyers–Ulam stability theorem of a modified quadratic functional equation in a modular space Xρ using ∆3-condition without the Fatou property on the modular function ρ. AMS Subject Classification:
H. Kim, Y. S. Hong
semanticscholar +1 more source
Fuzzy approximation of an additive functional equation
Journal of Function Spaces, Volume 9, Issue 2, Page 205-215, 2011., 2011 In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.
G. Zamani Eskandani +3 more
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Picard and Adomian methods for quadratic integral equation
, 2010 We are concerning with two analytical methods; the classical method of successive approximations (Picard method) [14] which consists the construction of a sequence of functions such that the limit of this sequence of functions in the sense of uniform ...
A. El-Sayed, H. Hashem, E. Ziada
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The Jensen functional equation in non‐Archimedean normed spaces
Journal of Function Spaces, Volume 7, Issue 1, Page 13-24, 2009., 2009 We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non‐Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences. In particular, we show that a mapping f between non‐Archimedean spaces with f(0) = 0 is additive if and only if ‖f(x+y2)−f(x)+f(y)2‖→0 as max ...
Mohammad Sal Moslehian, George Isac
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Nonlinear Random Differential Equations with n Sequential Fractional Derivatives
Moroccan Journal of Pure and Applied Analysis, 2022 This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions.
Hafssa Yfrah, Dahmani Zoubir
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Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
Scientific African, 2022 In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan +5 more
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Hyers-Ulam stability of exact second-order linear differential equations [PDF]
, 2012 In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients ...
Badrkhan Alizadeh +3 more
core +1 more source
Recursive procedure in the stability of Fréchet polynomials
, 2014 By means of a new stability result, established for symmetric and multi-additive mappings, and using the concepts of stability couple and of stability chain, we prove, by a recursive procedure, the generalized stability of two of Fréchet’s polynomial ...
Daniel Dăianu
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Local stability of the additive functional equation and its applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 15-26, 2003., 2003 The main purpose of this paper is to prove the Hyers‐Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen′s functional equation for a large class of restricted domains.
Soon-Mo Jung, Byungbae Kim
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Annales Mathematicae Silesianae, 2020 In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the
Schwaiger Jens
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