A note on the monotonicity of the Maslov-type index of linear Hamiltonian systems with applications
2005 ◽
Vol 135
(6)
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pp. 1263-1277
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Keyword(s):
In this note, we first consider the monotonicity of the Maslov-type index theory. More precisely, for any two 1-periodic symmetric continuous matrix functions B0(t) and B1(t) with B0(t) < B1(t), we consider the relations between the Maslov-type indices (i(B0), ν (B0)) and (i(B1), ν (B1)). We then apply this theory to study the existence and multiplicity of some kinds of asymptotically linear Hamiltonian systems
1998 ◽
Vol 145
(2)
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pp. 252-273
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2018 ◽
Vol 149
(03)
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pp. 593-615
2007 ◽
Vol 232
(1)
◽
pp. 233-255
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2005 ◽
Vol 221
(2)
◽
pp. 253-280
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Keyword(s):
Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems
2010 ◽
Vol 248
(10)
◽
pp. 2435-2457
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