Results 41 to 50 of about 2,495 (216)
Advances in Difference Equations, 2021 In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan +5 more
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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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Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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Study of implicit delay fractional differential equations under anti-periodic boundary conditions
Advances in Difference Equations, 2020 This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali +2 more
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Stability of generalized Newton difference equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
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Mathematics, 2021 In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
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GENERALIZED HYERS--ULAM STABILITY OF REFINED QUADRATIC FUNCTIONAL EQUATIONS [PDF]
International Journal of Pure and Apllied Mathematics, 2015 In this paper, we give a general solution of a refined quadratic functional equation and then investigate its generalized Hyers-Ulam stability in quasi-normed spaces and in non-Archimedean normed spaces.
H.-M. Kim, H.-Y. Shin
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Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations
Mathematics, 2022 In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian +2 more
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Generalized Hyers-Ulam stability of cubic functional inequality
Filomat, 2016 In this article, we investigate the generalized Hyers-Ulam stability of a cubic functional inequality in Banach spaces and in non-Archimedean Banach spaces by using fixed point method and direct method, respectively.
Hark-Mahn Kim, Eunyoung Son
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Satbility of Ternary Homomorphisms via Generalized Jensen Equation
, 2005 In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal +1 more
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