Sentence examples for for a certain solution from inspiring English sources

We establish a blow-up result for a certain solution with positive initial energy.

At a certain point, increasing the number of rows or columns for a certain solution would not compensate the lose of quality, according to the rest of objectives.

The first fitness function f 1 evaluates the coverage for a certain literature capacity of a certain solution and will often be the most important requirement.

then exponentially for and where is a certain solution of a logistic equation.

To direct the learning algorithm toward a certain solution for the AS signals, we use the following procedure: for any subgroup of conditions T′ ⊂ {1,…, T} corresponding to a known signal we initialize a matching signal λ c so that sign(λ c, t ) = sign(λ c, t ′) ∀ t, t′ ∈ T′, while λ c, t = 0 ∀ t ∉ T′.

Indeed, if it were not the case, the solution (y_{c, f}^ u)) would vanish in (]0, 1[ ), since, assuming that (int_{I_{j'}} f^ u),du geq1) for a certain (j'), the solution to begin{cases} z'=-f(t), z(theta_{j'})=y_{c, f}^(theta_{j'}) < 1 end{cases} would be a (backward) supersolution for our problem, vanishing in a certain point of (I_{j'}).

A blow up result for certain solutions with arbitrary positive initial energy was established.

Under suitable assumptions on relaxation functions, damping terms, and source terms, by using the energy method we proved a global nonexistence result for certain solutions with negative initial energy.

In the absence of the dispersive term and (m=0), model (1.2) reduces to the wave equation u_{tt}-Delta u-Delta u_{t}-Delta u_{tt}+u_{t}=|u|^{p-2}u. (1.4) Xu and Yang [11] established a blow-up result for certain solutions of (1.4) with arbitrary positive initial energy, where (1< p

We give an explicit integral formula for certain solutions of the equation D=0.

For a certain breed of vanguardist, the solution was passive-aggressive withdrawal into archaic myth, oracular symbolism and private language.