In this paper, we establish several new Lyapunov-type inequalities for the first-order nonlinear Hamiltonian system {x^'(t)=@a(t)x(t)+@b(t)|y(t)|^@m^-^2y(t),y^'(t)=-@c(t)|x(t)|^@n^-^2x(t)-@a(t)y(t), which generalize or improve all related existing ones.
['X. H. Tang', 'Qi-Ming Zhang', 'Meirong Zhang']
Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems