摘要:In this article, we establish some stability criteria for the polar linear Hamiltonian dynamic system on time scales x Δ ( t ) = α ( t ) x ( σ ( t ) ) + β ( t ) y ( t ) , y Δ ( t ) = - γ ( t ) x ( σ ( t ) ) - α ( t ) y ( t ) , t ∈ T by using Floquet theory and Lyapunov-type inequalities. 2000 Mathematics Subject Classification: 39A10.
关键词:Hamiltonian dynamic system ; Lyapunov-type inequality ; Floquet theory ; stability ; time scales