Sentence examples for be a functional equation from inspiring English sources

Definition 2.3 Let E a ( z ) = 0, z ∈ S n be a functional equation, where E : A ⊆ B S → B S n is a mapping, S is a nonempty set and a ∈ A is the unknown function.

A quadratic functional equation is a functional equation of the following form: (1.5).

The main tool to derive the model is a functional equation, which allows obtaining the most general model satisfying all the stated conditions.

The last equality is a functional equation of the form f_{j} ( x ) =R_{j} ( x ) f_{j} bigl( lambda ( x ) bigr) +S_{j} ( x ) (9) for (f_{j} ( x ) ). Numerous examples and results of the theory and applications of functional equations can be found in [1, 6].

which is called a functional equation of quadratic type.

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).

Problem (22 - 23 22 - 23 reducan to a functional equation which is exactly the same as (16) in Example 1. Hence the solution can be obtained by (17)-(18).

Equation (15) is a functional differential equation with a variable delay of the form dot{x}(t)+ b(t)xbigl t-h(t)bigr)=0,quad tgeq0.

Thus it is natural that each equation is said to be a quadratic functional equation.

The relations (3) and (4) show that the selection differential S and the response R to it are related through a functional equation involving three factors: genotype distribution, the selection function and the environmental noise.

So, it is said to be a quartic functional equation.