Disconjugacy criteria for matrix difference equations
The authors obtain criteria of disconjugacy [cf. \textit{C. D. Ahlbrandt} and \textit{A. C. Petersen}, Discrete Hamiltonian systems. Difference equations, continued fractions, and Riccati equations (1996; Zbl 0860.39001)] for the matrix-Jacobi equation \[ -\Delta y_{t-1} + p_ty_t = 0, \quad t=1,\ldots,n. \] In some sense, the result is an extension of results of \textit{S. Clark} and \textit{D. Hinton} [Dyn. Syst. Appl. 8, No. 3--4, 369--380 (1999; Zbl 0940.39013)].
scientific article; zbMATH DE number 2082211