Sentence examples for order of solutions from inspiring English sources

But to prove such order of solutions for non-increasing g is an open problem.

We get the upper bound of the order of solutions (see [10]).

That means we have to estimate the lower bound of the order of solutions.

As many papers (see [8, 11]) obtained the lower bound of the order of solutions of difference equations.

In particular, when k = 3, the order of solutions of f ( 3 z ) = 3 f ( z ) f ′ ( z ) is not more than log 2 / log 3.

In 2009, Gu et al. [11] investigated the growth order of solutions of a type systems of algebraic differential equations of the form ( w ′ 2 ) m 1 = a ( z ) w 1 ( n ), ( w 1 ( n ) ) m 2 = P [ w 2 ] (1.3).

The relative polyplex ion abundances in the ESI mass spectra reveal the following order of solution stabilities for the major product PN: PEI-d TTTTT) > PEI-d TTTTT) ≈ PEI-d(GCGAT) ≈ PEI-d(CCCCC) > PEI-d GGGGG).

Most existing finite-volume approaches use dimension-by-dimension differencing and require special interpolation or reconstruction procedures at ghost cells adjacent to sector boundaries in order to achieve an order of solution accuracy higher than unity.

Injections were repeated in triplicate and the order of solution conditions was programmed randomly to ensure the reliability of the results obtained.

In 2000, Chen and Yang studied the hyper-order of solutions of (1.1).

We investigate the hyper-order of solutions of two class of complex linear differential equations.