Sentence examples for be any positive solution from inspiring English sources

Let u a be any positive solution of (AP).

Let be any positive solution of BVP (1.2).

Let be any positive solution of BVP (1.4) in.

Let ((S(n),E(n),I(n),R(n))) be any positive solution of model (2).

Let u ( t ) be any positive solution of BVP (1.1) in B r.

Let x̃ be any positive solution of the boundary value problem (1.1).

Suppose that (X(n)=(x(n),u(n))) is any positive solution of hull equation (4.10).

Suppose that ((u,v)= u(x),v(x))) is any positive solution of (1.2).

Assume that u ( x, t ) is any positive solution of (1.4) on M with A ( x ) ≡ A, B ( x ) ≡ B, and h ( x ) ≡ h.

Summarizing, all solutions p of the stationary problem (3.1), with the above referred regularity, are of the form given by the expression (3.2), where N is any positive solution of the implicit equation (3.3).

If (H1) holds, then system (1.1) is permanent, that is, any positive solution ( x ( t ), y ( t ) ) of system (1.1) satisfies m 1 ≤ lim inf t → + ∞ x ( t ) ≤ lim sup t → + ∞ x ( t ) ≤ M 1, (3.1).