Sentence examples for a solution of initial from inspiring English sources

Let ω be a solution of initial value problem (2.6).

then we say that y is a solution of initial problem (IP) (1), (2).

This proves that x t) is a solution of initial value problem (2) and the proof is complete.

Hence, by Theorem 2.12, T has a fixed point in ℋ ̄ Open image in new window, which is a solution of initial value problem (1) and (2).

By Theorem 2.12, Υ has a fixed point in Ū Open image in new window, which is a solution of initial value problems (1) and (2).

Next, we perform some preliminary results on the existence and uniqueness of a solution of initial value problem for equation (1.1) based on phase-plane analysis, which imply that the Poincaré mapping of (1.1) can be well defined.

By construction, a fixed point of P is a solution of the initial value problem (15).

Then, for with and, a function is a solution of the initial value problem (2.6).

In what follows, and hence if is a solution of the initial problem (3.1 - 3.2 3.1 - 3.2

Thus, this fixed point is a solution of the initial value problem (1) and (2).

Then a solution of the initial problem (1.1), (1.2) is a solution of the delayed system (2.6).