Results 21 to 30 of about 547 (94)
Bounds for solutions of linear differential equations and Ulam stability
Miskolc Mathematical Notes, 2020 We obtain Gronwall type bounds for the solutions of a linear system of differential equations. As applications we get results on Ulam stability for linear differential equations and linear systems of differential equations.
F. Blaga +4 more
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Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
, 2006 The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
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The Ulam Stability Problem for the Functional Equation f(x * g(y)) = f(x) f(y) [PDF]
, 2020 We present a solution of Ulam’s stability problem for the functional equation f(x * g(y)) = f(x)f(y) with vector-valued map f. Mathematics Subject Classification.
Badora, Roman
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n-derivations and functional inequalities with applications
Mathematical Inequalities & Applications, 2020 We prove that every bounded n -derivation of a commutative factorizable Banach algebra maps into its radical. Also, the nilpotency of eigenvectors of any bounded n -derivation corresponding to its eigenvalues is derived.
A. Alinejad, H. Khodaei, M. Rostami
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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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Stability of additivity and fixed point methods
, 2013 We show that the fixed point methods allow to investigate Ulam’s type stability of additivity quite efficiently and precisely. Using them we generalize, extend and complement some earlier classical results concerning the stability of the additive Cauchy ...
J. Brzdȩk
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STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS
Forum of Mathematics, Sigma, 2020 Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $\text{Sym}(n)$ (in the sofic case) or the finite-dimensional unitary ...
MARCUS DE CHIFFRE +3 more
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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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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
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Approximate multi-variable bi-Jensen-type mappings
Demonstratio Mathematica, 2023 In this study, we obtained the stability of the multi-variable bi-Jensen-type functional equation: n2fx1+⋯+xnn,y1+⋯+ynn=∑i=1n∑j=1nf(xi,yj).{n}^{2}f\left(\frac{{x}_{1}+\cdots +{x}_{n}}{n},\frac{{y}_{1}+\cdots +{y}_{n}}{n}\right)=\mathop{\sum }\limits_{i=1}
Bae Jae-Hyeong, Park Won-Gil
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