AbstractIn this paper we obtain the general solution of the quadratic Jensen type functional equation 9fx+y+z3+f(x)+f(y)+f(z)=4fx+y2+fy+z2+fz+x2 and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and Găvruta
We find the solutions f, g, h: S → H of each of the functional equations λ∈Λ f(x + λy) = |Λ|g(x...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
AbstractExamples of coupled Euler–Bernoulli beams with pointwise dissipation are considered. Exponen...
AbstractIn this paper we solve the Jensen type functional equation nn−2k−2fx1+⋯+xnn+n−2k−1∑i=1nf(xi)...
AbstractWe prove the generalized Hyers–Ulam–Rassias stability of generalized A-quadratic mappings of...
AbstractIn this paper we prove the Hyers–Ulam–Rassias stability by considering the cases that the ap...
AbstractIn this paper, we obtain the general solution and stability of the Cauchy–Jensen functional ...
AbstractWe investigate some inequalities connected with the Hyers–Ulam stability of three functional...
AbstractThe aim of this paper is to study the stability problem of the d'Alembert type and Jensen ty...
We study the stability properties of the equation F(y)−F(x)=(y−x)∑i=1naif(αix+βiy) which is motiva...
AbstractIn this paper, we study the oscillation, global asymptotic stability, and other properties o...
AbstractIn this paper, we will investigate the generalized Hyers–Ulam–Rassias stability of an n-dime...
AbstractLet X,Y be vector spaces. It is shown that if an even mapping f:X→Y satisfies f(0)=0, and (∗...
AbstractIn this work, we will prove the Hyers–Ulam stability of linear partial differential equation...
AbstractIn this paper we study the stability, in the sense of Th.M. Rassias, of multi-Jensen equatio...
We find the solutions f, g, h: S → H of each of the functional equations λ∈Λ f(x + λy) = |Λ|g(x...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
AbstractExamples of coupled Euler–Bernoulli beams with pointwise dissipation are considered. Exponen...
AbstractIn this paper we solve the Jensen type functional equation nn−2k−2fx1+⋯+xnn+n−2k−1∑i=1nf(xi)...
AbstractWe prove the generalized Hyers–Ulam–Rassias stability of generalized A-quadratic mappings of...
AbstractIn this paper we prove the Hyers–Ulam–Rassias stability by considering the cases that the ap...
AbstractIn this paper, we obtain the general solution and stability of the Cauchy–Jensen functional ...
AbstractWe investigate some inequalities connected with the Hyers–Ulam stability of three functional...
AbstractThe aim of this paper is to study the stability problem of the d'Alembert type and Jensen ty...
We study the stability properties of the equation F(y)−F(x)=(y−x)∑i=1naif(αix+βiy) which is motiva...
AbstractIn this paper, we study the oscillation, global asymptotic stability, and other properties o...
AbstractIn this paper, we will investigate the generalized Hyers–Ulam–Rassias stability of an n-dime...
AbstractLet X,Y be vector spaces. It is shown that if an even mapping f:X→Y satisfies f(0)=0, and (∗...
AbstractIn this work, we will prove the Hyers–Ulam stability of linear partial differential equation...
AbstractIn this paper we study the stability, in the sense of Th.M. Rassias, of multi-Jensen equatio...
We find the solutions f, g, h: S → H of each of the functional equations λ∈Λ f(x + λy) = |Λ|g(x...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
AbstractExamples of coupled Euler–Bernoulli beams with pointwise dissipation are considered. Exponen...