Sentence examples for prove that the function from inspiring English sources

We first prove that the function, defined by, satisfies the inhomogeneous Kummer's equation (1.4).

Indeed, we prove that the function H has a global minimum at x = b.

In this section we prove that the function in Equation 10 has a fixed point.

Hence it remains to prove that the function D 2 is also positive and increasing.

We first prove that the function, defined by, satisfies the inhomogeneous differential equation (1.8).

We will prove that the function associated with (P) has Mountain Pass geometry and satisfies the ( C ) condition.

First we prove that the functions (f_{s}({x})) satisfy (5).

We need to prove that the functions under the integral signs are measurable.

It remains to prove that the functions (Gamma_{n}x), (x in overline{V}), are equicontinuous at (t = 0).

We can also prove that the functions ũ 2 ( x, λ ̃ ) and w 2 ( x, λ ̃ ) are linearly dependent on [ π 2, π ].

We will prove that the functions ϕ ( t ) = T n ( t ), ψ ( t ) = T m ( t ) are a couple of lower and upper solutions of the fractional q-difference boundary value problem (1.1), respectively.