Oscillation theory of symplectic difference systems

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Authors	DOŠLÝ Ondřej
Year of publication	2009
Type	Article in Proceedings
Conference	Advanced Studies in Pure Mathematics
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Oscillation; symplectic diference system; discrete eigenvalue problem; principal solution; focal point; Sturmian theorem; oscillation theorem
Description	Recent results in the oscillation theory of symplectic difference systems are presented. A particular attention is devoted to Sturmian and oscillation theorems for these systems and for the so-called reversed symplectic systems. Some open problems and conjectures are formulated.
Related projects:	Difference Equations and Dynamic Equations on Time Scales. Mathematical structures and their physical applications