New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems

Abstract EN

Using a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained.

These results generalize and improve the oscillation criteria due to Zheng (2008).

An example is given to dwell upon the importance of our results.