Analytic Solutions of Special Functional Equations

Analytic Solutions of Special Functional Equations

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We recall some of our earlier results on the construction of peperomia double duty a mapping defined implicitly, without using the implicit function theorem.All these considerations work in the real case, for functions and operators.Then we consider the complex case, proving the analyticity of the function defined implicitly, under certain hypothesis.Some consequences are given.An approximating formula for the analytic form of the solution is also given.

Finally, one illustrates shellac starter set douglas the preceding results by an application to a concrete functional and operatorial equation.Some related examples are given.