Results 21 to 30 of about 581 (106)
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
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
semanticscholar +1 more source
Notes on stability of the generalized gamma functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 57-63, 2002., 2002 The Hyers‐Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x + p) = a(x)g(x) under some conditions which involve convergence of complicated series. In this note, those conditions are simplified to be checked easily and more interesting examples other than the classical gamma functional equation ...
Gwang Hui Kim, Bing Xu, Weinian Zhang
wiley +1 more source
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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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
doaj +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 ...
D. Dăianu
semanticscholar +1 more source
On the stability of the quadratic mapping in normed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 217-229, 2001., 2001 The Hyers‐Ulam stability, the Hyers‐Ulam‐Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x + y) + f(x − y) = 2f(x) + 2f(y), f(x + y + z) + f(x − y) + f(y − z) + f(z − x) = 3f(x) + 3f(y) + 3f(z), f(x + y + z) + f(x) + f(y) + f(z) = f(x + y) + f(y + z) + f(z + x) are ...
Gwang Hui Kim
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A generalized sequential problem of Lane-Emden type via fractional calculus
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we combine the Riemann-Liouville integral operator and Caputo derivative to investigate a nonlinear time-singular differential equation of Lane Emden type.
Gouari Yazid +2 more
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Euler-Lagrange radical functional equations with solution and stability
, 2020 In this article, we introduce the generalized Euler-Lagrange radical functional equations of type sextic and quintic. Also, we obtain their general solution and investigate the generalized Hyers-Ulam-Rassias stability in modular spaces using fixed point ...
Murali Ramdoss +2 more
semanticscholar +1 more source
A functional equation characterizing cubic polynomials and its stability
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 301-307, 2001., 2001 We study the generalized Hyers‐Ulam stability of the functional equation f[x1, x2, x3] = h(x1 + x2 + x3).
Soon-Mo Jung, Prasanna K. Sahoo
wiley +1 more source