Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems

Abstract

The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved. Examples of the obtained results are compared with some well known ones.

Keywords

• riccati equation
• oscillation
• non-oscillation
• conjoined (prepared, preferred) solution
• liouville's formula