Stability of a Generalized Trigonometric-Quadratic Functional Equation by Janyarak Tongsomporn, Vichian Laohakosol

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Ulam-Hyers Stability of Trigonometric Functional Equation with Involution by Jaeyoung Chung, Chang-Kwon Choi, Jongjin Kim

“…In this paper, we first investigate general solutions of the functional equation f(x+σy)=f(x)g(y)-g(x)f(y) for all x,y∈S, where f,g:S→C. …”
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The Jensen functional equation in non-Archimedean normed spaces by Mohammad Sal Moslehian

“…We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non-Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences. …”
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A new approach for studying fuzzy functional equations by Elias Deeba, Andre De Korvin

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Stability for the Mixed Type of Quartic and Quadratic Functional Equations by Young-Su Lee, Soomin Kim, Chaewon Kim

“…We establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y). …”
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On Solution and Stability of a Two-Variable Functional Equations by Y. J. Cho, R. Saadati, S. Shabanian, S. M. Vaezpour

“…The solutions of such functional equations are considered.…”
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Generalized Stability of Euler-Lagrange Quadratic Functional Equation by Hark-Mahn Kim, Min-Young Kim

“…The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space, where a,b are fixed rational numbers such that a≠-1,0 and b≠0.…”
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On a modified Hyers-Ulam stability of homogeneous equation by Soon-Mo Jung

Subjects: “…Functional equation…”
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On a functional equation related to an automorphism of a unit circle by Eduardas Kirjackis

“…It is established, that research of a given functional equation is closely connected to property of stationary points of automorpism ω(z). …”
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On iterative solution of nonlinear functional equations in a metric space by Rabindranath Sen, Sulekha Mukherjee

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Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay by R. Ganesh, R. Sakthivel, Yong Ren, S. M. Anthoni, N. I. Mahmudov

“…More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral impulsive fractional functional equation with infinite delay. Further, as a corollary, approximate controllability result is discussed by assuming compactness conditions on solution operator. …”
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Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications by Soo Hwan Kim

“…As applications of the analytical structure, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional equation fx⊕y=fx⊕fy in tangle space which is a set of real tangles with analytic structure and describe the DNA recombination as the action of some enzymes on tangle space.…”
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Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation by Yang Hi Lee, Soon-Mo Jung

“…We will investigate a fuzzy version of stability for the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in the sense of Mirmostafaee and Moslehian.…”
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General Quadratic-Additive Type Functional Equation and Its Stability by Yang-Hi Lee, Soon-Mo Jung

“…We investigate the general functional equation of the form f(ax+by+cz)-abf(x+y)-bcf(y+z) − acf(x+z)-a((a+1)/2-b-c)f(x)-b((b+1)/2-a-c)f(y)-c((c+1)/2-a-b)f(z)-(a(a-1)/2)f(-x) − (b(b-1)/2)f(-y)-(c(c-1)/2)f(-z)=0, whose solutions are quadratic-additive mappings in connection with stability problems.…”
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On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups by M. Sirouni, S. Kabbaj

“…In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. …”
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Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations by L. K. Kikina, I. P. Stavroulakis

“…The most interesting oscillation criteria for the second-order linear delay differential equation, the second-order difference equation and the second-order functional equation, especially in the case where liminft→∞∫τ(t)tτ(s)p(s)ds≤1/e and limsupt→∞∫τ(t)tτ(s)p(s)ds<1 for the second-order linear delay differential equation, and 0<liminft→∞{Q(t)P(g(t))}≤1/4 and limsupt→∞{Q(t)P(g(t))}<1, for the second-order functional equation, are presented.…”
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On a Stability of Logarithmic-Type Functional Equation in Schwartz Distributions by Jae-Young Chung

“…We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappan f(x+y)-g(xy)-h(1/x+1/y)=0,  x,y>0, in both classical and distributional senses. …”
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Matrix method for solving linear complex vector functional equations by Ice B. Risteski

“…We give a new matrix method for solving both homogeneous and nonhomogeneous linear complex vector functional equations with constant complex coefficients.…”
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Stability of Pexiderized Quadratic Functional Equation in Random 2-Normed Spaces by Mohammed A. Alghamdi

“…The aim of this paper is to investigate the stability of Hyers-Ulam-Rassias type theorems by considering the pexiderized quadratic functional equation in the setting of random 2-normed spaces (RTNS), while the concept of random 2-normed space has been recently studied by Goleţ (2005).…”
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Stability of a Logarithmic Functional Equation in Distributions on a Restricted Domain by Jaeyoung Chung, Prasanna K. Sahoo

“…As classical and versions of the Hyers-Ulam stability of the logarithmic type functional equation in a restricted domain, we consider the following inequalities: , and in the sectors . …”
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