An index theory for symplectic paths associated with two Lagrangian subspaces with applications

作者：Liu, Chungen^*; Wang, Qi; Lin, Xing

来源：Nonlinearity, 2011, 24(1): 43-70.

DOI：10.1088/0951-7715/24/1/002

• LINEAR HAMILTONIAN-SYSTEMS
• MULTIPLE BRAKE ORBITS
• MASLOV-TYPE INDEX
• PERIODIC-SOLUTIONS
• POSITIVE SOLUTIONS
• MORSE INDEX
• NONTRIVIAL SOLUTIONS

In this paper we first establish an index theory for symplectic paths starting from identity associated with two Lagrangian subspaces. Then as its applications, we consider the existence and multiplicity for asymptotically linear Hamiltonian systems with arbitrary Lagrangian boundary conditions, brake solution problems and Sturm-Liouville problems.

• 出版日期2011-1
• 单位南开大学