Results 31 to 40 of about 2,398,627 (204)
ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2009 J. Wang (21) proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen's equation for the case p,q,r,s 2 (fl, 1 ) \ {1} holds or not under the assumption that G and E are fl-homogeneous F- space (0 < fl • 1). The main purpose of this paper is to give an answer to Wang's problem. Furthermore, we proved that the stability property of Jensen'
Dongyan Zhang, Jian Wang
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On the Generalized Hyers‐Ulam‐Rassias Stability of Quadratic Functional Equations [PDF]
Abstract and Applied Analysis, 2009 We achieve the general solution and the generalized Hyers‐Ulam‐Rassias and Ulam‐Gavruta‐Rassias stabilities for quadratic functional equations f(ax + by) + f(ax − by) = (b(a + b)/2)f(x + y) + (b(a + b)/2)f(x − y) + (2a2 − ab − b2)f(x) + (b2 − ab)f(y) where a, b are nonzero fixed integers with b ≠ ±a, −3a, and f(ax + by) + f(ax − by) = 2a2f(x) + 2b2f(y)
Gordji, M. Eshaghi, Khodaei, H.
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On Hyers–Ulam–Rassias Stability of the Pexider Equation
Journal of Mathematical Analysis and Applications, 1999 Let \((G,+)\) be an abelian group, \((X,\|\cdot\|)\) be a Banach space and \(f,g,h:G\rightarrow X\) be mappings. An equation \(f(x+y)=g(x)+h(y)\) is called a Pexider functional equation. In the paper the stability of that equation in the spirit of Hyers-Ulam-Rassias is considered. The main theorem is the following: Let \(\varphi:G\times G\rightarrow[0,\
Jun, Kil-Woung +2 more
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Advances in Difference Equations, 2019 In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana +2 more
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Advances in Difference Equations, 2020 Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali +5 more
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Advances in Difference Equations, 2020 This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada +3 more
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Complexity, 2021 In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo +4 more
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Axioms, 2022 A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
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Advances in Difference Equations, 2020 Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo +3 more
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Journal of Mathematics, 2021 In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi +2 more
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