Oscillation results for linear Hamiltonian systems

Authors:
Fanwei Meng
Affiliations:
Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, People's Republic of China
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 2
Cited 2

Weighted means and oscillation conditions for second order matrix differential equations

Journal of Differential Equations
Oscillation results for second order differential systems

SIAM Journal on Mathematical Analysis

Oscillation criteria for second order linear matrix differential systems with damping

Journal of Computational and Applied Mathematics
Riccati techniques and oscillation for self-adjoint matrix Hamiltonian systems

Computers & Mathematics with Applications

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Abstract

For linear Hamiltonian systems this paper established some new oscillation criteria which improve previous results even for self-adjoint second order differential systems. The main tool used is a generalized Riccati transformation.