Results 31 to 40 of about 111 (111)
Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric [PDF]
Mathematical Methods in the Applied Sciences, 2018 We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers‐Ulam‐Rassias, σ‐semi‐Hyers‐Ulam and Hyers‐Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient
Simões, A. M., Castro, L. P.
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This study investigates the existence, uniqueness, and stability of solutions to Riemann–Liouville fractional differential equations with fractional variable‐order and antiperiodic boundary conditions. By employing the Banach fixed point theorem, we establish conditions for the uniqueness of solutions, while Schauder’s fixed point theorem is used to ...
Mohammed Said Souid +6 more
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Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras
Bulletin des Sciences Mathématiques, 2008 The author investigates the Hyers-Ulam stability problem of homomorphisms between quasi-Banach algebras. According to the main results, under suitable requirements, an ``approximate'' homomorphism of a quasi-Banach algebra is ``close'' to a homomorphism; moreover, similarly to the classical case, the homomorphism is generated by the Hyers-iteration. As
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Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
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HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2007 In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for the following cubic functional equation 3f(x+3y)+f(3x-y)=15f(x+y)+15f(x-y)+80f(y). The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias# stability theorem that appeared in his paper: On the stability of the
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U‐H) and generalized Ulam–Hyers (G‐U‐H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives and antiperiodic boundary conditions. We can divide this manuscript into six parts. The first section
Muthaiah Subramanian +3 more
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On the Hyers–Ulam–Rassias Stability of Approximately Additive Mappings
Journal of Mathematical Analysis and Applications, 1996 The article contains another generalization of the classical Hyers solution to the Ulam problem on approximately additive mappings. The author vaguely indicates independent proves of his result in the articles by P. Găvrută with coathors.
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Hyers-Ulam-Rassias Stability of Orthogonal Quadratic Functional Equation
International Journal of Computer Applications, 2013 In this paper, we study the Hyers-Ulam-Rassias stability of the quadratic functional ...
Ashish Ashish, Renu Chugh, Manoj Kumar
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi‐β‐Banach spaces and quasi‐fuzzy β‐Banach spaces by means of direct method as well as quasi‐Banach spaces by means ...
Kandhasamy Tamilvanan +5 more
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Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation
Journal of Mathematical Analysis and Applications, 2000 The author studies the Hyers-Ulam-Rassias stability of a Jensen type functional equation \[ 3f((x+y+z)/3)+ f(x)+ f(y)+ f(z)= 2[ f((x+y)/2)+ f((y+z)/2)+ f((z+x)/2)]. \] The main result of this paper is the following: If the function \(f: X\to Y\) satisfies \[ \begin{multlined}\|3 f((x+y+z)/3)+ f(x)+ f(y)+ f(z)- 2[f((x+y)/2)+ f((y+z)/2)+ f((z+x)/2)]\|\\ \
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