Results 21 to 30 of about 24,678 (193)
The Mixed Cubic-Quartic Functional Equation
Annals of the Alexandru Ioan Cuza University - Mathematics, 2015 AbstractIn this paper, we obtain the general solution of the following generalized mixed cubic and quartic functional equation f(x + kx) + f(x − ky) = k2{f(x + y) + f(x−y)}−2(k2−1)f(x)−2k2(k2−1)f(y)+ 1/4 k2(k2−1)f(2y), for fixed integers k with k ≠ 0,±1. The Hyers-Ulam stability problem for the mentioned functional equation is also proved.
Bodaghi, A., Kang, D., Rassias, J. M.
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Stability of Quartic Functional Equations in the Spaces of Generalized Functions [PDF]
Advances in Difference Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee Y.-S., Chung S.-Y.
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Skyrme models and nuclear matter equation of state [PDF]
, 2015 We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the
A. Schmitt +4 more
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A Remark for the Hyers–Ulam Stabilities on n-Banach Spaces
Axioms, 2020 In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional ...
Jaeyoo Choy, Hahng-Yun Chu, Ahyoung Kim
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The lifespan of small data solutions in two dimensional capillary water waves [PDF]
, 2017 This article is concerned with the incompressible, irrotational infinite depth water wave equation in two space dimensions, without gravity but with surface tension.
Ifrim, Mihaela, Tataru, Daniel
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Solution and Stability of Quartic Functional Equations in Modular Spaces by Using Fatou Property
Journal of Function Spaces, 2022 We propose a novel generalized quartic functional equation and investigate its Hyers–Ulam stability in modular spaces using a fixed point technique and the Fatou property in this paper.
N. Uthirasamy +3 more
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Stability of Quartic Functional Equation in Modular Spaces via Hyers and Fixed-Point Methods
Mathematics, 2022 In this work, we introduce a new type of generalised quartic functional equation and obtain the general solution. We then investigate the stability results by using the Hyers method in modular space for quartic functional equations without using the ...
Syed Abdul Mohiuddine +3 more
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Erratum to: Quartic functional equations in Lipschitz spaces [PDF]
Rendiconti del Circolo Matematico di Palermo (1952 -), 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nuclear surface properties in relativistic effective field theory [PDF]
, 1998 We perform Hartree calculations of symmetric and asymmetric semi-infinite nuclear matter in the framework of relativistic models based on effective hadronic field theories as recently proposed in the literature.
Aboussir +46 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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