Sentence examples for if exists a from inspiring English sources

First, using Schauder fixed point theorem, we show that (if exists) a design solution for an uncertain linear system obtained by replacing the nonlinearity with a gain and a bounded disturbance is also a solution for the original problem.

We said the solution ((u,v)) blows up in finite time if only if exists a finite time (T>0) such that lim_{tnearrow T}sup bigl( biglVert u x,t) bigrVert _{L^{infty }(Omega )}+ biglVert v x,t) bigrVert _{L^{infty }(Omega )} bigr) =infty.

As presented below the algorithm Minimize, when called on the output of FindAll, returns, if exists, a minimal hyperpath linking a given target to the source.

if and only if there exists a scalar satisfying (2.13).

(i) strongly -accretive, if there exists a constant such that (2.2). (ii) -relaxed -accretive, if there exists a constant such that (2.3).

(3)   -Lipschitz continuous if there exists a positive real number such that (1.18)  .   -Lipschitz continuous if there exists a positive real number such that (1.18).

(1) is said to beLipschitz continuous if there exists a constant such that  . is said to beLipschitz continuous if there exists a constant such that.

(2) is said to be -relaxed Lipschitz if there exists a constant such that  . is said to be -relaxed Lipschitz if there exists a constant such that.

The scheme is said to be convergent if there exists a limit curve.

This raises the question if there exists a small bound on the circuits or programs.

However, so far one does not even know if there exists a fourth nontrivial solution.