Sentence examples for problem of the second from inspiring English sources

The problem of the second is to prove that reality is exclusively spirit.

Recently, the periodic problem of the second order differential equation with impulses has been widely studied because of its background in applied sciences (see [6] [18] and the references cited therein).

We employ the eigenfunctions of the fractional Sturm Liouville eigen-problems of the first kind in [1], called Jacobi poly-fractonomials, as temporal bases, and the eigen-functions of the boundary-value problem of the second kind as temporal test functions.

Example 3.7 Consider the following two-point boundary value problem of the second order differential equation: { − d 2 x d t 2 = sin t e t + x 1 + cos t π, x ∈ [ 0, ∞ ), t ∈ [ 0, 1 ], x ( 0 ) = x ( 1 ) = 0. (25).

A second example where our results can be applied is the following two-point boundary value problem of the second order differential equation: { − d 2 x d t 2 = f ( t, x ), x ∈ [ 0, ∞ ), t ∈ [ 0, 1 ], x ( 0 ) = x ( 1 ) = 0. (21).

Based on the above work, the purpose of this paper is to study the following periodic-integrable boundary value problem of the second order differential equations (denoted as PIBVP for short): begin{aligned} begin{aligned} &x"=fbigl t,x,x' bigr), &x 0)=x({2pi}),qquad { int_{0}^{2pi}} x s),ds=0, end{aligned} end{aligned} (1) where (f:[0,2pi]times R^{2}longrishtarrow R) is continuous.

It is the problem of the fourth official".

"The problem of the Twentieth Century is the problem of the color line," W.  E.

Thirty years ago, for instance, speech recognition was an artificial-intelligence problem of the first order.

They did not want to hear the distinction of a problem of the first- and one of the second-order.

He wrote many books and pamphlets on this theme, including The Problem of the Twentieth Century (1930).