Maslov P-Index Theory for a Symplectic Path with Applications*

Chungen Lıu

Type: Article

Publication Date: 2006-08-01

Citations: 22

DOI: https://doi.org/10.1007/s11401-004-0365-0

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Locations

Chinese Annals of Mathematics Series B - View

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+ PDF Chat	The Existence of Periodic Solutions for Second-Order Delay Differential Systems	2022	Chungen Lıu Qi Wang
+	The P-Index Theory	2019	Chungen Lıu
+	Some abstract critical point theorems for self-adjoint operator equations and applications	2010	Chungen Lıu Qi Wang
+	An index theory for symplectic paths associated with two Lagrangian subspaces with applications	2010	Chungen Lıu Qi Wang Lin Xing
+	Periodic solutions of asymptotically linear delay differential systems via Hamiltonian systems	2012	Chungen Lıu
+	A note on the relations between the various index theories	2016	Chungen Lıu
+	Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $$\mathbf{R}^{2n}$$	2020	Hui Liu Chongzhi Wang Duanzhi Zhang
+ PDF Chat	Minimal $ P $-symmetric periodic solutions in semi-positive definite Hamiltonian systems	2024	Peng Liu Duanzhi Zhang Zhihao Zhao
+	Minimal period estimates on P-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems	2021	Xiaofei Zhang Chungen Liu
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Works Cited by This (10)

Action	Title	Year	Authors
+	Index Theory for Symplectic Paths with Applications	2002	Yiming Long
+	Isolated Invariant Sets and the Morse Index	1978	Charles C. Conley
+	A new obstruction to embedding Lagrangian tori	1990	Claude Viterbo
+	Morse theory and asymptotic linear Hamiltonian system	1989	Shujie Li J.Q Liu
+ PDF Chat	Nontrivial periodic solutions for strong resonance Hamiltonian systems	1997	K.-C. Chang J.Q. Liu M.J. Liu
+	Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations	1984	Charles C. Conley Eduard Zehnder
+	Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations	1980	Herbert Amann Edward J. Zehnder
+ PDF Chat	A Maslov-type index theory for symplectic paths	1997	Yiming Long
+	MASLOV-TYPE INDEX, DEGENERATE CRITICAL POINTS, AND ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS	1990	Si-Meng Long
+	Periodic solutions of asymptotically linear hamiltonian systems	1997	Guihua Fei Qingjiu Qiu