Sentence examples for bounded nonnegative solution of from inspiring English sources

Assume (1< pleqfrac{n+alpha+2gamma}{n-alpha}) and (gammageq 0 ), if (u(x)) is a locally bounded nonnegative solution of the equation (1.2), then (u(x equiv0).

(K u)) is a bounded nonnegative kernel function of order k ((k>p)) with bounded support.

C4.:  (K u)) is a bounded nonnegative kernel function of order k ((k>p)) with bounded support.

In the following, we will show that any nonnegative solution of system (1) is bounded as (trightarrow+infty) for all (xinOmega).

Let u ( x, t ) be the classical nonnegative solution of problem (1.1 - 1.3 1.1 - 1.3nded star-shaped domain Ω ∈ R N ( N ≥ 3 ) and assume that q < p. Then the quantity φ ( t ) = ∫ Ω u n s d x (2.1).

Since z is bounded from below by zero, z t, ·) must converge for t → ∞ to a nonnegative solution of (48).

We show that the solution exists, and is unique, bounded, nonnegative, and globally defined.

Let be a nonnegative solution of (1.11).

Suppose that is an arbitrary nonnegative solution of (1.5).

Thus is a nonnegative solution of (1.1)−(1.4).

By Lemma 2.2, is a nonnegative solution of (1.5).