Sentence examples similar to satisfy a solution from inspiring English sources
If the required outer boundary condition is satisfied, a solution has been achieved.
Remark 2 If conditions (ii) and (iii) above are satisfied, a solution x of (1) with ( t, x ( t ) ) ∈ Ω satisfies the Hartman-Nagumo inequality (see the second paragraph on p.702 in [20]).
Thus U ( x, t ) is the maximal solution of (1.1), and this solution satisfies a sub-solution comparison principle.
We consider the Korteweg de Vries equation (KdV) on the real line, and prove that the smooth solutions satisfy a priori local in time Hs bound in terms of the Hs size of the initial data for s≥−45.
Well-constructed fan-assisted perforations may satisfy an advanced cooling solution to better manage and optimize the heat and mass transfer in data centers.
A composition process is able to automatically produce solutions that satisfy a user request.
We give necessary and sufficient conditions on integers n⩾2 and m⩾1 such that these solutions u satisfy a pointwise a priori bound as x→0.
The Petrov-Galerkin method generates a sequence of approximate solutions that satisfy a weak form of the original differential equation as tested against polynomials in a dual space.
The conditions which must be satisfied for a solution to exist are listed.
Drug discovery is a challenging multi-objective problem where numerous pharmaceutically important objectives need to be adequately satisfied for a solution to be found.
Natural boundary conditions in the bending of anisotropic plates can never be exactly satisfied by a solution in a variables separable form.
