Sentence examples for this solution exists from inspiring English sources

Further, if is regressive, this solution exists on.

It follows that if u ∈ L1 0, 1) is a local solution with a summable fractional derivative D0.7u(t), then this solution exists for all t ∈ (0, 1).

Thus, if u ∈ L1 0, π) is a local solution with a summable fractional derivative D0.8u(t), this solution exists for 0 < t < 0.17826.

Thus, if u ∈ L1 0, 2) is a local solution with a summable fractional derivative D0.7u(t), then this solution exists for all t ∈ (0, 1.02638).

This solution exists if and only if when the right-hand side of (3.2) vanishes under, that is, the condition (3.3). is fulfilled.

In this case, if u ∈ L1 0, T) is a local solution of (34) that has a summable fractional derivative D α u(t), then this solution exists for all t ∈ (0, T1).

Silver particles in this solution existed longer than those synthesized by using sodium citrate and sodium borohydride without using any stabilizing agent.

Finally, considering (4.23), (4.24), (4.25), and (4.26), we obtain the following contradiction: ξ ′ ( t 1 ) < M ( s ) 8 t 1 < 0, which means that there exists δ > 0 satisfying ζ ( t ) ≤ − δ, t ≥ T. Especially, this negative solution exists for all t ≥ T. From Corollary 3.2 it follows that Eq. (4.3) is non-oscillatory for γ < Γ. □.

In this chart, no solution exists in some ranges and solutions are not provided uniformly.

end{cases} In this case, no solution exists, since (y'(x)) is not an (i -differentiable fuzzy-valued functi -differentiable

The disappointing reality is this: No Goldilocks solution exists right now, and Facebook's massive scale (2.2 billion monthly active users) probably prevents otherwise good remedies, like content and Page demotion, from working.