Sentence examples for boundary value problem corresponding from inspiring English sources

Theoretical modeling and analyzing of reversible electrode reaction coupled with Langmuir adsorption is presented using cyclic reciprocal derivative chronopotentiometry (CRDCP) with symmetrical programmed current applied, in which the finite difference method was firstly used to solve the boundary value problem corresponding to the electrode processes.

Recently, Su [26] analyzed a two-point boundary value problem corresponding to a coupled system of fractional differential equations.

Let us consider a solution of the initial boundary value problem corresponding to the external data (mathcal{D}).

Let us consider a solution of the initial boundary value problem corresponding to zero external data (mathcal{D}=0).

end{aligned} (27) We integrate this relation over (Btimes [0,t]), (tin [0,T)), and use the divergence theorem and equation (13) to obtain equation (20). □. Let us consider a solution of the initial boundary value problem corresponding to the external data (mathcal{D}).

Two boundary value problems corresponding to "stress-free" and "clamped" boundaries are considered in which each solution is reduced to the dual integral equations.

We also analyze an initial-boundary value problem corresponding to a cylindrical annulus of a biodegradable viscoelastic polymeric solid of finite length, the geometry that is relevant to a biodegradable stent, in contact with another cylindrical annulus (the arterial wall) of viscoelastic solid.

In particular, if are the eigenvalues of the original boundary value problem with corresponding eigenfunctions, then are eigenfunctions of the corresponding transformed boundary value problem with eigenvalues.

where ψ ( x, λ n ) and φ ( x, λ n ) are the eigenfunctions of the boundary value problem (1 - 3), corresponding to the eigenvalue λ n.

The solution of the boundary value problem (17 - 19 17 - 19ponding to v ∈ V is a funcorresponding x, z ) toat belongs to the space C 0 ( [ 0, L ], L 2 ( 0, L ) ) and satisfies the integral identity (20).

We start with two weak solutions ( u 1, q 1, z 1 ) and ( u 2, q 2, z 2 ) of the initial boundary value problem (2.9 - 2.17) corresponding to the given data h 1 = h ( η ¯ 1 ), q in 1, q w 1, q out 1 and h 2 = h ( η ¯ 2 ), q in 2, q w 2, q out 2, respectively, and form the difference of the appropriate relations (2.21).