Subharmonic Solutions of Weakly Coupled Hamiltonian Systems

Subharmonic Solutions for First-order Hamiltonian Systems

In this article, we study the existence of periodic and subharmonic solutions for a class of non-autonomous first-order Hamiltonian systems such that the nonlinearity has a growth at infinity faster than |x|α, 0 ≤ α < 1. We also study the minimality of periods for such solutions. Our results are illustrated by specific examples. The proofs are based on the least action principle and a generaliz...

SUBHARMONIC SOLUTIONS FOR NONAUTONOMOUS SUBLINEAR p–HAMILTONIAN SYSTEMS

Some existence theorems are obtained for subharmonic solutions of nonautonomous p -Hamiltonian systems by the minimax methods in critical point theory. Mathematics subject classification (2010): 34C25.

Subharmonic solutions of a nonconvex noncoercive Hamiltonian system

In this paper we study the existence of subharmonic solutions of the Hamiltonian system Jẋ + u∗∇G(t, u(x)) = e(t) where u is a linear map, G is a C-function and e is a continuous function.

Convergence rate of approximate solutions to weakly coupled nonlinear systems

We study the convergence rate of approximate solutions to nonlinear hyperbolic systems which are weakly coupled through linear source terms. Such weakly coupled 2 × 2 systems appear, for example, in the context of resonant waves in gas dynamics equations. This work is an extension of our previous scalar analysis. This analysis asserts that a One Sided Lipschitz Condition (OSLC, or Lip-stability...

Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign