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The method used here is relatively new in the literature and so are the existence and uniqueness results regarding functional differential equations.
Regarding functional connectivity, we are aware of only few attempts.
Ulam [1] proposed a question regarding the stability of functional equations for homomorphism as follows: when can an approximate homomorphism from a group (G_{1}) to a metric group (G_{2}) be approximated by an exact homomorphism?
In this paper, we consider the following functional equations: (1.3).
Here, we bring some corollaries regarding the stability of functional equation (1.8) which are a direct consequence of Theorem 3.6.
Applications regarding the existence of common solutions of certain functional equations are also discussed.
For other functional equations, see [29 42].
We consider the system of integral functional equations (35).
For a mapping, consider the functional equation.
For a mapping, consider the functional equation: (1.5).
Consider the functional equation in a certain general setting.
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