Interval oscillation criteria for self-adjoint matrix Hamiltonian systems
2005 ◽
Vol 135
(5)
◽
pp. 1085-1108
◽
Keyword(s):
By using a monotonic functional on a suitable matrix space, some new oscillation criteria for self-adjoint matrix Hamiltonian systems are obtained. They are different from most known results in the sense that the results of this paper are based on information only for a sequence of subintervals of [t0, ∞), rather than for the whole half-line. We develop new criteria for oscillations involving monotonic functionals instead of positive linear functionals or the largest eigenvalue. The results are new, even for the particular case of self-adjoint second-differential systems which can be applied to extreme cases such as
2005 ◽
Vol 135
(5)
◽
pp. 1085-1108
2003 ◽
Vol 46
(3)
◽
pp. 609-625
◽
2008 ◽
Vol 281
(11)
◽
pp. 1664-1671
◽
2008 ◽
Vol 201
(1-2)
◽
pp. 305-312
◽
Keyword(s):
2013 ◽
Vol 2013
◽
pp. 1-5
◽
1980 ◽
Vol 78
(2)
◽
pp. 198-198
◽
2020 ◽
Vol 50
(6)
◽
pp. 2047-2057