Sentence examples for boundary value problem generated from inspiring English sources

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In conclusion, we apply the results of our study to a boundary value problem generated by a partial differential equation.

In this paper, we consider the boundary value problem generated by the system of Dirac equations on the finite interval 0 < x < π : B y ′ + Ω ( x ) y = λ ρ ( x ) y (1).

In this paper we consider a nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential expression at infinity.

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In [5, 6], Gal and Grasselli proved that the initial and boundary value problem generates a strongly continuous semigroup on a suitable phase space which possesses the global attractor A and establish the existence of an exponential attractor E which entails that A has finite fractal dimension.

Let us consider the boundary value problem (BVP) generated by the Sturm-Liouville equation (1.1).

The existence of locally smooth solutions to the second boundary value problem for generated prescribed Jacobian equations is treated in [16] under conditions A1, A2, A1*, A3 and A4w.

In ADMD, by applying the least action principle, the Newtonian dynamics formulation is now transformed into a boundary value problem to generate classical low-potential-energy trajectories bridging two given structures.

In this context, by appropriately extending the validity of Clapeyron's theorem within the regime of polar linear elasticity for fibre-reinforced materials, it is shown that the solution of well-posed linear elasticity boundary value problems that generate a constant couple-stress field is unique.

The boundary value problem was solved over the generated mesh with the assempde function.

Under the condition that the generating boundary value problem has no solution, we consider the simplest case of.

Hence, the determination of the shear constants requires the resolution of an auxiliary 3D boundary value problem on the unit cell that generates the periodic plate.

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