Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems
In this paper, we establish several new Lyapunov-type inequalities for the first-order nonlinear Hamiltonian system {x'(t) = alpha(t)x(t) + beta(t)vertical bar y(t)vertical bar(mu-2)y(t), y'(t) = - gamma(t)vertical bar x(t)vertical bar(nu-2)x(t) - alpha(t)y(t), which generalize or improve all related existing ones. (C) 2011 Elsevier Ltd. All rights reserved.
lyapunov-type inequality hamiltonian system linear system half-linear equation