Add to ORKG[[abstract]]In this paper, we obtain the general solution and we provide a proof of the functional stability in the spirit of Hyers-Ulam, Th. M. Rassias and P. Gˇavruta for the Cauchy linear functional equation f(x + y + a) = f(x) + f(y), where f : E1 −! E2 and a is an arbitrary element in E1
We give the solution of the functional equation f(x + y) + λf(x)f(y) = Φ(x, y) under some condition...
Abstract In this paper the general method for proving stability of linear functional equations is d...
Abstract. In this paper we establish the general solution of the functional equation which is closel...
Abstract We investigate the following generalized Cauchy linear functional equation where a is an ar...
ABSTRACT. In this paper, we prove two general theorems about Hyers-Ulam stability of functional equa...
AbstractIn this paper, we obtain the general solution and stability of the Cauchy–Jensen functional ...
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare pro...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized deriva...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional...
Abstract. In this paper, we prove the generalized Hyers-Ulam (or Hyers-Ulam-Rassias) stability of th...
AbstractLet G1 be a vector space and G2 a Banach space. In this paper, we solve the generalized Hyer...
AbstractWe give the solution of the functional equation f(x+y)+λf(x)f(y)=Φ(x,y) under some condition...
The stability of the functional equation f(x composite function y) = H(f(x), f(y)) (x, y in S) is in...
We will prove the Hyers-Ulam stability of the Butler-Rassias functional equation follow-ing an idea ...
We give the solution of the functional equation f(x + y) + λf(x)f(y) = Φ(x, y) under some condition...
Abstract In this paper the general method for proving stability of linear functional equations is d...
Abstract. In this paper we establish the general solution of the functional equation which is closel...
Abstract We investigate the following generalized Cauchy linear functional equation where a is an ar...
ABSTRACT. In this paper, we prove two general theorems about Hyers-Ulam stability of functional equa...
AbstractIn this paper, we obtain the general solution and stability of the Cauchy–Jensen functional ...
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare pro...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized deriva...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional...
Abstract. In this paper, we prove the generalized Hyers-Ulam (or Hyers-Ulam-Rassias) stability of th...
AbstractLet G1 be a vector space and G2 a Banach space. In this paper, we solve the generalized Hyer...
AbstractWe give the solution of the functional equation f(x+y)+λf(x)f(y)=Φ(x,y) under some condition...
The stability of the functional equation f(x composite function y) = H(f(x), f(y)) (x, y in S) is in...
We will prove the Hyers-Ulam stability of the Butler-Rassias functional equation follow-ing an idea ...
We give the solution of the functional equation f(x + y) + λf(x)f(y) = Φ(x, y) under some condition...
Abstract In this paper the general method for proving stability of linear functional equations is d...
Abstract. In this paper we establish the general solution of the functional equation which is closel...