Sentence examples for solutions to the third from inspiring English sources
The finance and accountancy team provide permanent, contract and temporary recruitment solutions to the third and public sectors from assistant to director level.
We extend the numerical pole field solver (Fornberg and Weideman (2011) [12]) to enable the computation of the multivalued Painlevé transcendents, which are the solutions to the third, fifth and sixth Painlevé equations, on their Riemann surfaces.
The world will have to find solutions to the first in order properly to enjoy the second.
In the case of this storefront, which used to be H & H bagels, the solutions to the first two mysteries are partially known to me.
Positive and dead-core solutions to the third-order singular differential equation.
In this article, we are concerned with the existence of monotone positive solutions to the third-order and fractional-order multipoint boundary value problems.
By applying Green's function of a third-order differential equation and a fixed point theorem in cones, we obtain sufficient conditions for the existence, multiplicity and nonexistence of positive periodic solutions to the third-order neutral differential equation.
Qiu [12] obtained some significant results for the existence of nonoscillatory solutions to the third-order nonlinear neutral dynamic equation of the form begin{aligned} bigl(r_{1}(t) bigl(r_{2}(t) bigl(x t)+p(t)x bigl(g(t) bigr) bigr)^{varDelta } bigr)^{varDelta } bigr)^{varDelta }+f bigl t,x bigl(h(t) bigr) bigr)=0, end{aligned} where (lim_{t rightarrowinfty}p(t)=p_{0}in -1,1)).
It should be mentioned that Zhao et al. [1] (see also [18, 19]) have proved the time decay rate of solutions to the third-grade non-Newtonian fluid flows (1.5) biglVert u(t) bigrVert _{2} leq C(1+t)^{-frac{3}{4} }quad textit{for } t>1 with the initial data (u_{0}in L^{2}(mathbb {R}^{3} cap L^{1}(mathbb {R}^{3})).
are solutions to the first ni,j + 1 power sums.
This paper concerns the oscillation of solutions to the second-order dynamic equation.
