Abstract :
Using a linear transformation similar to the Kummer transformation, some new oscillation criteria for linear
Hamiltonian systems are established. These results generalize and improve the oscillation criteria due
to I.S. Kumari and S. Umanaheswaram [I. Sowjaya Kumari, S. Umanaheswaram, Oscillation criteria for
linear matrix Hamiltonian systems, J. Differential Equations 165 (2000) 174–198], Q. Yang et al. [Q. Yang,
R. Mathsen, S. Zhu, Oscillation theorems for self-adjoint matrix Hamiltonian systems, J. Differential Equations
190 (2003) 306–329], and S. Chen and Z. Zheng [Shaozhu Chen, Zhaowen Zheng, Oscillation criteria
of Yan type for linear Hamiltonian systems, Comput. Math. Appl. 46 (2003) 855–862]. These criteria also
unify many of known criteria in literature and simplify the proofs.
© 2006 Elsevier Inc. All rights reserved.
