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Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
Additive function Quadratic function Cubic function Quartic function Generalized Hyers-Ulam-Rassias stability Ulam-Gavruta-Rassias stability J.M. Rassias stability
2010/4/16
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the generalized mixed type of functional equation for fixed integers with ![]()
EIGHT=...
Approximation of a Mixed Functional Equation in Quasi-Banach Spaces
Generalized Hyers-Ulam stability additive function cubic function quasi-Banach space $p$-Banach space
2010/1/22
In this paper we establish the general solution of the functional equation and investigate its generalized Hyers-Ulam stability in quasi-Banach spaces. The concept of Hyers-Ulam-Rassias stab...
An Example of a Stable Functional Equation When the Hyers Method Does Not Work
Cauchy's functional equation Stability Hyers iteration
2008/7/3
An Example of a Stable Functional Equation When the Hyers Method Does Not Work.
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation
Group Additive equation Quadratic equation Hyers-Ulam-Rassias stability
2008/7/1
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation.
Hyers-Ulam Stability of the Generalized Quadratic Functional Equation in Amenable Semigroup
Hyers-Ulam stability Quadratic functional equation Amenable semigroup Morphism of semigroup
2008/7/1
Hyers-Ulam Stability of the Generalized Quadratic Functional Equation in Amenable Semigroup.
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation
Group Additive equation Quadratic equation Hyers-Ulam-Rassias stability
2008/7/1
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation.
Fixed Points and the Stability of Jensen's Functional Equation
Jensen functional equation Fixed point Stability
2008/7/1
We will present a fixed point method for the stability theorems of functional equations of Jensen type as given by S.-M. Jung [11] and Wang Jian [10].
The Generalized Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation
Quadratic functional equation Hyers-Ulam-Rassias stability
2008/6/26
The Generalized Hyers-Ulam-Rassias Stability of a Quadratic Functional.
Stability of an Euler-Lagrange type Cubic Functional Equation
Hyers-Ulam-Rassias stability cubic functional equation
2010/2/25
In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for an Euler-Lagrange type cubic functional equation 2mf(x+my)+2f(mx-y)=(m3+m)...
A functional equation related to a multiple cold standby system
Cold standby functional equation Cauchy integral
2010/9/15
We consider a basic multiple cold standby system attended by a single repairman. The system satisfies the usual conditions (i.i.d. random variables, perfect repair, instantaneous and perfect switch, q...
The Generalized Hyers--Ulam--Rassias Stability of a Cubic Functional Equation
Hyers--Ulam--Rassias stability Quadratic function Cubic function
2010/2/26
In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x) for a positive integer m \g...