Results 11 to 20 of about 111 (111)
β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System [PDF]
Symmetry, 2019 In this paper, we study a system governed by impulsive semilinear nonautonomous differential equations. We present the β –Ulam stability, β –Hyers–Ulam stability and β –Hyers–Ulam–Rassias stability for the said system on a compact interval and then extended it to an unbounded interval. We use Grönwall type inequality and evolution family
Xiaoming Wang, Muhammad Arif, Akbar Zada
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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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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations
Mathematical Biosciences and Engineering, 2022 <abstract><p>In this paper, using the fractional integral with respect to the $ \Psi $ function and the $ \Psi $-Hilfer fractional derivative, we consider the Volterra fractional equations. Considering the Gauss Hypergeometric function as a control function, we introduce the concept of the Hyers-Ulam-Rassias-Kummer stability of this ...
Zahra Eidinejad, Reza Saadati
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Hyers–Ulam–Rassias stability of a linear recurrence
Journal of Mathematical Analysis and Applications, 2005 The author considers a linear recurrence \[ x_{n+1}=a_nx_n+b_n,\qquad n\geq 0,\;x_0\in X \] where \((x_n)\) is a sequence in a Banach space \(X\) and \((a_n)\), \((b_n)\) are given sequences of scalars and vectors in \(X\), respectively. Then, a stability result is proved: Suppose that \(\varepsilon>0\), \(| a| >1\) and an arbitrary sequence \((b_n ...
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Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 more
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Representation of Multilinear Mappings and s‐Functional Inequality
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
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On the Generalized Hyers-Ulam-Rassias Stability of Higher Ring Derivations [PDF]
Kyungpook mathematical journal, 2009 Let \({\mathcal A}\), \({\mathcal B}\) be real or complex algebras. A sequence \(H=\{h_0,h_1,\dots\}\) of additive operators from \({\mathcal A}\) to \({\mathcal B}\) is called a \textit{higher ring derivation} if \[ h_n(zw)=\sum_{i=0}^{n}h_i(z)h_{n-i}(w),\qquad z,w\in{\mathcal A}, n=0,1,\dots. \] A sequence \(F=\{f_0,f_1,\dots\}\) of operators from \({
Park, Kyoo-Hong, Jung, Yong-Soo
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Engineering Reports, Volume 7, Issue 9, September 2025.Smart malaria control using larvicidal plant extracts and mosquito nets. With the model, sensor nodes can be installed to collect environmental data that enhances the breeding of mosquitoes and the timing of malaria‐treated mosquito nets. Data collected can be processed using artificial intelligence for decision‐ and policy‐making.
Juliet Onyinye Nwigwe +6 more
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