Sentence examples for a continuous solution from inspiring English sources

A continuous solution to (5) exists also in the case when f is not continuously differentiable in [ 0, 1 ].

Therefore, v is a continuous solution of (3.1) and (3.2).

Let y be a continuous solution of TVP (7).

Let X be a continuous solution to equation (9).

Let y be a continuous solution of IVP (6).

In previous research, PSO particles search solutions in a continuous solution space.

B 0 and B 1 are constant matrices and it turns out that they are subject to certain restrictions for a problem with a unique continuous solution.

Based on a new concept of a piecewise continuous solution, we establish sufficient conditions for the existence of the solutions for the boundary value problem at resonance by the continuation theorem of coincidence degree theory.

Here, we always assume that fractional neutral system (2.1) with initial condition (2.2) has a unique continuous solution x ( t ) which depends continuously upon t 0, φ.

Since this initial value problem has a unique continuous solution, it follows that there is a unique continuous solution of (4.1).

So (8) has a unique continuous solution (u(t)) for every continuous function (x t)).