Oscillatory and non oscillatory criteria for linear four dimensional hamiltonian systems

2019/04/05 by Grigorian, G. A.
#34C10 #Classical Analysis and ODEs (math.CA) #F.2.2 #FOS: Mathematics #I.2.7

paper · doi:10.48550/arxiv.1904.02916

Abstract

The Riccati equation method is used for study the oscillatory and non oscillatory behavior of solutions of linear four dimensional hamiltonian systems. An oscillatory and two non oscillatory criteria are proved. On an example the obtained oscillatory criterion is compared with some well known results.

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