Sentence examples for unique solution of an from inspiring English sources

A monotone sequence of iterates converging uniformly and quadratically (rapidly) to a unique solution of an integral boundary value problem (1.1) is presented.

Every successive approximation to the unknown solution is the unique solution of an appropriately constructed initial value problem for a linear difference equation with maxima, and an algorithm for its explicit obtaining is suggested.

In this paper, we define the support of X by (operatorname {support}(X)=S={i: Vert X_{text{row } i} Vert _{2} neq 0}) and say that the solution X is k-sparse when (vert S vert leq k), and we also say that X can be recovered by (l_{2,0} -minimization if X is the unique sol_{2,0} -minimization)-mifimization problem.

The common solution is a unique solution of a monotone variational inequality.

Then the consensus error is calculated via the unique solution of a Lyapunov equation.

Such an element is a unique solution of a triple hierarchical variational inequality problem.

Finally, we state a theorem stating that the unique solution of a symmetric BVP is symmetric.

The strongly convergent point (p_{0}) is the unique solution of a variational inequality.

This common element is proved to be the unique solution of a variational inequality problem.

Then the sequence converges strongly to, where is the unique solution of a variational inequality.

We prove the strong convergence of the method to the unique solution of a suitable variational inequality.