Oscillation and conjugacy criteria for two-dimensional symplectic difference systems

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Authors

DOŠLÝ Ondřej

Year of publication 2012
Type Article in Periodical
Magazine / Source Computers and Mathematics with Applications
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.camwa.2012.01.014
Field General mathematics
Keywords Symplectic difference system; phase sequence; Riccati technique; Picone's identity; oscillation criterion; conjugacy
Attached files
Description Oscillatory properties of two-dimensional symplectic difference systems are investigated. Using the recently introduced concept of the phase of a basis of these systems, combined with the Riccati technique, we obtain new oscillation and conjugacy criteria.
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