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Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj +1 more source

Bisymmetric and quasitrivial operations: characterizations and enumerations [PDF]

, 2018
We investigate the class of bisymmetric and quasitrivial binary operations on a given set $X$ and provide various characterizations of this class as well as the subclass of bisymmetric, quasitrivial, and order-preserving binary operations.
Devillet, Jimmy
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Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings.
Dutta Hemen, Senthil Kumar B. V., Suresh S. +2 more
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On the Ulam-Hyers stability of a quadratic functional equation

Journal of Inequalities and Applications, 2011
The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil, Bae Jae-Hyeong, Lee Sang-Baek +2 more
doaj

Traveling wave solutions for a discrete diffusive epidemic model [PDF]

[[abstract]]We study the traveling wave solutions for a discrete diffusive epidemic model. The traveling wave is a mixed of front and pulse types. We derive the existence and non-existence of traveling wave solutions of this model. The proof of existence
Fu, Sheng-Chen
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On Lyapunov-type inequalities for [Formula: see text]-Laplacian systems. [PDF]