(1) School of Mathematics and LPMC, Nankai University, Tianjin 300071, China
Abstract:
Abstract
The Maslov P-index theory for a symplectic path is defined. Various properties of this index theory such as homotopy invariant, symplectic
additivity and the relations with other Morse indices are studied. As an application, the non-periodic problem for some asymptotically
linear Hamiltonian systems is considered.
*Project supported by the National Natural Science Foundation of China (No.10531050) and FANEDD.