TY - RPRT TI - The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems AB - In this paper, the iteration formula of the Maslov-type index theory for linear Hamiltonian systems with continuous periodic and symmetric coefficients is established. This formula yields a new method to determine the minimality of the period for solutions of nonlinear autonomous Hamiltonian systems via their Maslov-type indices. Applications of this formula give new results on the existence of periodic solutions with prescribed minimal period for such systems. (author). 40 refs. AU - "Dong, Di [Nankai Univ., Tianjin (China). Inst. of Mathematics]" AU - "Long, Yiming" KW - "71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS" KW - "HAMILTONIANS" KW - "ITERATIVE METHODS" KW - "EIGENVALUES" KW - "HILBERT SPACE" KW - "MATRICES" KW - "NONLINEAR PROBLEMS" KW - "PERTURBATION THEORY" KW - "661100" KW - "CLASSICAL AND QUANTUM MECHANICS" DO - https://doi.org/ UR - PB - CY - IAEA PY - 1994 DA - 1994-10-01 LA - English J2 - [] VL - C1 - International Centre for Theoretical Physics (ICTP), Trieste (Italy) C2 - C3 - IC-94/318 C4 - C5 - OSTI; NTIS (US Sales Only); INIS L3 - Other Information: PBD: Oct 1994 ER -