Results 31 to 40 of about 4,449,819 (289)
Mathematics, 2019 The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam&
Yang-Hi Lee
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On the Stability of Quadratic Functional Equations in F-Spaces
Journal of Function Spaces, 2016 The Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved.
Xiuzhong Yang
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ON THE STABILITY OF SOME QUADRATIC FUNCTIONAL EQUATION [PDF]
Journal of Nonlinear Sciences and Applications, 2011 Summary: We establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the Hyers-Ulam-Rassias stability of this equation in Banach spaces.
openaire +2 more sources
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
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Random Stability of an Additive-Quadratic-Quartic Functional Equation
Journal of Inequalities and Applications, 2010 Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x−2y)=2f(x+y)+2f(−x−y)+2f(x−y)+2f(y−x)−4f(−x)−2f(
R. Saadati +4 more
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General Solution and Stability of Additive-Quadratic Functional Equation in IRN-Space
Journal of Function Spaces, 2021 The investigation of the stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially additive, quadratic, cubic,
K. Tamilvanan +4 more
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
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Inner product spaces and quadratic functional equations
Advances in Difference Equations, 2021 In this paper, we introduce the functional equations f ( 2 x − y ) + f ( x + 2 y ) = 5 [ f ( x ) + f ( y ) ] , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + 4 f ( y ) + f ( − y ) , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + f ( 2 y ) + f ( − y ) , f ( 2 x
Jae-Hyeong Bae +3 more
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Advanced Engineering Materials, EarlyView.Functionally graded metal–ceramic femoral stems are engineered through continuous UMAT‐based stiffness tailoring, eliminating discrete material interfaces while enhancing biomechanical compatibility. Low‐index power‐law gradation optimizes load transfer, reduces stress shielding, and controls implant–bone micromotion, highlighting a materials‐design ...
Rihem Nouira, Sameh Elleuch, Hanen Jrad
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