Variants of the functional equation of Cauchy by Juozas Mačys

Subjects: “…functional equation…”
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On the Stability of Quadratic Functional Equations by Jung Rye Lee, Jong Su An, Choonkil Park

“…Furthermore, the Hyers-Ulam-Rassias stability of the above functional equation in Banach spaces is proven.…”
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On a General Conditional Cauchy Functional Equation by Elham Mohammadi, Abbas Najati, Yavar Khedmati Yengejeh

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The Stability of Bi-Drygas Functional Equation by Mehdi Dehghanian, Sadegh Izadi, Yamin Sayyari

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Fuzzy approximation of an additive functional equation by G. Zamani Eskandani, Ali Reza Zamani, H. Vaezi

“…In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.…”
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Nearly General Septic Functional Equation by Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh

“…If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping. A functional equation is said to be a general septic functional equation provided that each solution of that equation is a general septic mapping. …”
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Solution and Stability of the Multiquadratic Functional Equation by Xiaopeng Zhao, Xiuzhong Yang, Chin-Tzong Pang

“…We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. …”
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Approximation on the Quadratic Reciprocal Functional Equation by Abasalt Bodaghi, Sang Og Kim

“…The Găvruţa stability for the quadratic reciprocal functional equations is established as well.…”
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Stability of a Quartic Functional Equation by Abasalt Bodaghi

“…We obtain the general solution of the generalized quartic functional equation f(x+my)+f(x-my)=2(7m-9)(m-1)f(x)+2m2(m2-1)f(y)-(m-1)2f(2x)+m2{f(x+y) + f(x-y)} for a fixed positive integer m. …”
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A Gauss type functional equation by Silvia Toader, Themistocles M. Rassias, Gheorghe Toader

“…Gauss' functional equation (used in the study of the arithmetic-geometric mean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means.…”
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On the stability of generalized gamma functional equation by Gwang Hui Kim

Subjects: “…Functional equations…”
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On Approximate Solutions of Functional Equations in Vector Lattices by Bogdan Batko

“…We provide a method of approximation of approximate solutions of functional equations in the class of functions acting into a Riesz space (algebra). …”
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Generalization of sum representation functional equations-I by Pl. Kannappan, V. Sathyabhama

Subjects: “…functional equations…”
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A new analogue of Gauss' functional equation by Hiroshi Haruki, Themistocles M. Rassias

Subjects: “…Gauss' functional equation…”
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Ulam Stability of a Quartic Functional Equation by Abasalt Bodaghi, Idham Arif Alias, Mohammad Hosein Ghahramani

“…The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. …”
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On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions by Jaeyoung Chung, Jeongwook Chang

“…We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.…”
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On the Stability of Quadratic Functional Equations in F-Spaces by Xiuzhong Yang

“…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.…”
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Cauchy's functional equation in restricted complex domains by Watcharapon Pimsert, Vichian Laohakosol, Sajee Pianskool

“…Using a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.…”
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Notes on stability of the generalized gamma functional equation by Gwang Hui Kim, Bing Xu, Weinian Zhang

“…The Hyers-Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x+p)=a(x)g(x) under some conditions which involve convergence of complicated series. …”
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An approximate functional equation for the square of the periodic zeta-function by Darius Šiaučiūnas

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