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In this paper we apply a regularized sinc method to compute the eigenvalues of a discontinuous Dirac systems, which contain eigenvalue parameter in one boundary condition, with transmission conditions at the point of discontinuity. The regularized technique allows us to insert some parameters to the well known sinc method; strengthening the existing… (More)

Eigenvalue problems with eigenparameter appearing in the boundary conditions usually have complicated characteristic determinant where zeros cannot be explicitly computed. In this paper we use the derivative sampling theorem ‘Hermite interpolations’ to compute approximate values of the eigenvalues of Dirac systems with eigenvalue parameter in one or two… (More)

- Rashad M. Asharabi, Mohammed M. Tharwat
- Numerical Algorithms
- 2017

The Hermite-Gauss sampling method is established to approximate the eigenvalues of the continuous Sturm-Liouville problems in 2016. In the present paper, we apply this method to approximate the eigenvalues of the Dirac system with transmission conditions at several points of discontinuity. This method gives us a higher accuracy results in comparison with… (More)

In this paper, the optimal boundary control problem for distributed parabolic systems, involving second order operator with an infinite number of variables, in which constant lags appear in the integral form both in the state equations and in the boundary condition is considered. Some specific properties of the optimal control are discussed.

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