Sentence examples for there exists a solution from inspiring English sources

That is there exists a solution of the problem: where.

Then for such x ∗ there exists a solution to (1) with power asymptotic behavior (3).

hold, then there exists a solution u of (2.9) in u h ( N ) + [ α N ].

According to Theorem 3.1, there exists a solution of the Kummer's equation (2.1) such that (4.11).

In view of Lemma 2.1, there exists a solution with period ω. □.

By Lemma 2.3, there exists a solution for the problem (1.1).

Thus by Theorem 3.2, there exists a solution of the -Laplacian BVP (4.4).

Thus, by Theorem 10, there exists a solution u ∈ C [ 0, 1 ] of integral equation (3.1).

In particular we prove that for each sufficiently small there exists a solution such that is increasing, and.

In view of Theorem 5.1, there exists a solution φ of system (45) because conditions (42) are satisfied.

for all and for some, there exists a solution of the differential equation.