2020/01/06 by G. Grigorian, G. A. Grigorian
Computer Science · Mathematics · #Matrix Theory and Algorithms #Numerical methods for differential equations #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.1090/proc/14973
The Riccati equation method is used to establish two new oscillation criteria for linear matrix Hamiltonian systems in a new direction, which is to break the positive definiteness restriction imposed on one of the coefficients of the Hamiltonian system. The obtained results are compared with some known oscillatory criteria.