Oscillatory criteria for the hamiltonian systems

2019/01/15 by Grigorian, G. A.
#Classical Analysis and ODEs (math.CA) #F.2.2 #FOS: Mathematics #I.2.7

paper · doi:10.48550/arxiv.1901.04714

Abstract

The Riccati equation method is used to establish some new oscillatory criteria for the hamiltonian systems in a new direction, which is to break the positive definiteness restriction imposed on one of coefficients of the hamiltonian system. The obtained results are compared with some known oscillatory criteria.

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