Sentence examples for be a nontrivial solution from inspiring English sources

Let be a nontrivial solution of (1.6).

Let u be a nontrivial solution (u(t)) of (3.1).

Proof Let ( u, v ) be a nontrivial solution of (P).

Let ( u, v ) be a nontrivial solution of (P).

Theorem 3 Let n ≥ 3 and u be a nontrivial solution of (3).

Let (x t)) be a nontrivial solution of the boundary value problem (1.10 - 1.11).

Hence (u_{1}) is a nontrivial solution of (1.1).

Therefore, u0 is a nontrivial solution of (1.1).

Suppose that u is a nontrivial solution to (1.3).

Assume that u is a nontrivial solution of problem (1.1).

Thus, ((z_0^+,y_0^+)) is a nontrivial solution of problem (1).