Sentence examples for functional is a solution of the from inspiring English sources

Exact(1)

By [19, Theorem 2.2], the critical point of the functional is a solution of the inclusion (3.5).

Similar(59)

The functional equation (1.1). is said to be a quadratic functional equation because the quadratic function is a solution of the functional equation (1.1).

It is easy to see that the function is a solution of the functional equation (1.6).

Then any critical point of the functional is a solution to (1.1).

We obtain the general solution and the stability of the -variable quadratic functional equation The quadratic form is a solution of the given functional equation.

The reciprocal function (r(x)=frac{c}{x}) is a solution of the functional equation (1.1).

It is easy to see that the function f(x) = d x4 is a solution of the functional equation (1.3), which is called a quartic functional equation.

It is easy to see that the mapping is a solution of the functional equation (1.7), which is called the quartic functional equation.

That is, is a solution of the functional equation (1.4).

It is easy to see that the mapping is a solution of the functional equation (1.10).

It follows from (3.71) and (3.74) that is a solution of the functional equation (1.6).

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