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We now investigate the generalized Hyers-Ulam-Rassias stability problem for functional equation (1.6).
By Theorem 3.8, we are going to investigate the following stability problem for functional equation (1.6).
By Corollary 3.9, we solve the following Hyers-Ulam stability problem for functional equation (1.6).
The stability problem for functional equation has extensively been investigated by a number of mathematicians [5 9].
This method can be applied to prove the Hyers-Ulam stability problem for functional equation in Schwartz distribution [7, 8].
The concept of stability for functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the equation.
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It gave rise to the stability theory for functional equations.
Such a phenomenon for functional equations is called the superstability.
In Section 2, we generalize Badora's result [10, Theorem ] for functional equations (1.5).
The quasi-linearization approach is a generalized Newton Raphson technique for functional equations.
The stability problem for functional equations has been extensively investigated by a number of mathematicians [7 15].
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