ON THE OSCILLATION OF SELF-ADJOINT MATRIX HAMILTONIAN SYSTEMS

[摘要] By means of monotone functionals and positive linear functionals defined on suitable matrix spaces as well as new generalized Riccati transformations, oscillation criteria for self-adjoint linear Hamiltonian matrix systems are obtained. Our results are generalizations and improvements of many existing results.AMS 2000 Mathematics subject classification: Primary 34A30; 34C10

[学科分类] 数学（综合）

[关键词] matrix Hamiltonian system;oscillation criterion;monotone functional;positive linear functional