Subharmonic solutions of a nonconvex noncoercive Hamiltonian system

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.

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 of Conservative Systems with Nonconvex Potentials

We consider the system of second order differential equations u" + VG(u) = e(t) = e(t + T), where the potential G: I" -» 1 is not necessarily convex. Using critical point theory, we give conditions under which the system has infinitely many subharmonic solutions. Introduction In this note, we consider the following system of second order differential equations: (1) u" + VG(u) = e(t). Here, G: R...

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.

Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems