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	reprint.pdf
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.
Related projects:	Mathematical structures and their physical applications Oscillation and spectral theory of differential and difference systems