Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term

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

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence argument, and a weak version of Lieb’s lemma. MSC: 34C37; 35A15; 37J45; 47J30

Infinitely many solutions for a class of second-order damped vibration systems

In this paper, by using the variational approach, we study the existence of infinitely many solutions for a class of second-order damped vibration systems under superquadratic and sub-quadratic conditions. Some new results are established and some recent results in the literature are generalized and significantly improved.

Multiple Periodic Solutions for Perturbed Second-order Impulsive Hamiltonian Systems

The existence of three distinct periodic solutions for a class of perturbed impulsive Hamiltonian systems is established. The techniques used in the proofs are based on variational methods. AMS Subject Classification: 34B15

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...