Inverse spectral problems for tridiagonal  by  complex Hamiltonians.

Guseinov, Gusein Sh.

Displaying similar documents to “Inverse spectral problems for tridiagonal $N$ by $N$ complex Hamiltonians.”

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Zagorodniuk, S. (1998)

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∗ Partially supported by Grant MM-428/94 of MESC. Systems of orthogonal polynomials on the real line play an important role in the theory of special functions [1]. They find applications in numerous problems of mathematical physics and classical analysis. It is known, that classical polynomials have a number of properties, which uniquely define them.

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Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems

Enrique Navarro, Rafael Company, Lucas Jódar (1993)

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In this paper we consider Bessel equations of the type $t^{2} X^{(2)} (t) + t X^{(1)} (t) + (t^{2} I - A^{2}) X (t) = 0$ , where A is an n $\times$ n complex matrix and X(t) is an n $\times$ m matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.

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Note on the $Ψ$ -boundedness of the solutions of a system of differential equations.

Diamandescu, A. (2004)

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Displaying similar documents to “Inverse spectral problems for tridiagonal N by N complex Hamiltonians.”

Displaying similar documents to “Inverse spectral problems for tridiagonal $N$ by $N$ complex Hamiltonians.”