Publication details

Eigenvalue comparison for discrete symplectic systems

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Year of publication 2015
Type Article in Proceedings
Conference Difference Equations, Discrete Dynamical Systems and Applications
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Symplectic system; Finite eigenvalue; Focal point; Oscillation theorem; Comparison of eigenvalues
Description The purpose of this paper is to provide an overview of important results in the oscillation and spectral theory of discrete symplectic systems with nonlinear dependence on the spectral parameter, which were recently introduced by the author. In addition, we derive new comparison theorems for finite eigenvalues of such systems.
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