Sentence examples for a solution of integral from inspiring English sources

which implies that is a solution of integral equation (2.11).

It follows from here that function should be a solution of integral equation (2.11).

We remark that a solution of integral equation ( 22 ) is a fixed point of the operator Q.

Hence, by Theorem 3.4, it follows that T has a fixed point in Ω, which is a solution of integral equation (4.1).

So, the map F : X → X is a contraction and it has a fixed point x = F x, and hence there exists a unique x ∈ X which is a solution of integral equation (3.1).

We see that if w ∗ is a solution of integral equation (71), then w ∗ is a solution of problem (68), which also says that w ∗ is a solution of the original boundary value problem (63).

The inverse problem of diffuse optical tomography is reduced to a solution of an integral equation with integration along a conditional PAT.

The main idea in the proof of Proposition 2.2 was to find a solution for the integral equation (38) by finding a solution of another integral equation, which was easier to solve.

The next example shows that the concavity of alone does not imply neither the existence of an upper bound for the solutions of the integral inequality (1.1) nor the existence of a solution of the integral equation (1.2).

A solution of the integral equation (3.11).

where with is a solution of the integral equation (3.3).