On an inverse problem involving a second-order differential system

N K CHAKRAVARTY, SUDIP KUMAR ACHARYYA

Abstract


Given the spectral characteristics defined in the body of the paper, it is possible to construct a complete self-adjoint eigenvalue problem in the finite interval (0, n) associated with a 2 x 2 matrix dlfferential system. The solutions of the differential system so constructed satisfy certain prescribed boundary condition::. at x = 0 and x = pi.

Keywords


Spectral functions; spectral characteristics; boundary characteristic vector; normalizing matrix; reciprocal kernel; orthonormal eigenvectors; P-identity; boundary condition vectors; bilinear concomitant; wronskian; Sturm-Lionville problem

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