Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems

摘要

In this paper, we establish several new Lyapunov-type inequalities for the first-order nonlinear Hamiltonian system {x'(t)=α(t)x(t)+β(t)|y(t)|~(μ-2)y(t),y'(t)=-γ(t)|x(t)|~(v-2)x(t)-α(t)y(t), which generalize or improve all related existing ones.