The phrase "a certain boundary value" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or engineering when discussing specific values that define limits or constraints in a problem or system.
Example: "To solve the equation, we need to determine a certain boundary value that will allow us to find the solution."
Alternatives: "a specific boundary value" or "a particular boundary value".
As the team size exceeds a certain boundary value, the coefficient changes from negative to positive.
Furthermore, mainly to decrease the execution time, the propagation is terminated if the total path cost exceeds a certain boundary value T Γ.
From a complementary point of view, it is known that a certain boundary value problem can be solved using a particular type of integral transform having an appropriate kernel.
Theorem 2.4 is very interesting and powerful; however, when we want to look for solutions for a certain boundary value problem (BVP), the fact of working in a compact domain could be quite restrictive.
Theorem 11 For the sequences { λ n, α n } ( n ∈ Z ) to be the spectral data for a certain boundary value problem L ( Ω ( x ) ) of the form (1), (2) with Ω ( x ) ∈ L 2 ( 0, π ), it is necessary and sufficient that the relations (8) and (9) hold.
For the matrix function (M lambda)) in the form (45) to be the Weyl matrix of a certain boundary value problem L, it is necessary and sufficient that the determinant of system (46) differs from zero, and (varepsilon(x) in L 0, infty); mathbb{C}^{m times m})), where (varepsilon(x)) is defined in (47).
In the past few decades, many important results relative to a p-Laplacian equation with certain boundary value conditions have been obtained.
In this paper, by means of the appropriate Green's function, an integral representation for the solutions of certain boundary value problems for second-order difference equations on (quadratic and q-quadratic) non-uniform lattices is presented.
In the past few decades, many important results as regards (1.1) with certain boundary value conditions have been obtained.
In the past few decades, many important results about equation (1.1) with certain boundary value conditions have been obtained.
In the past few decades, many important results relative to (1.1) with certain boundary value conditions have been obtained.
