Subharmonic Solutions for Second Order Differential 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...

Multiple periodic solutions for second order Josephson-type differential systems

*Correspondence: [email protected] College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu 730030, P.R. China Abstract In this paper, some new existence theorems are obtained for multiple periodic solutions of second order Josephson-type differential systems with partially periodic potential by using the minimax methods in critical point theory,...

Existence of Subharmonic Solutions for a Class of Second-Order p-Laplacian Systems with Impulsive Effects

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

Periodic Solutions of Second Order Non-autonomous Differential Systems

We study the existence of nonnegative solutions for second order nonlinear differential systems with periodic boundary conditions. In this class of problems, where the associated Green’s function may take on negative values, and the nonlinear term is allowed to be singular. Our method is based on the Guo-Krasnosel’skii fixed point theorem of cone expansion and compression type, involving a new ...