Periodic solutions of a class of nonautonomous second order differential systems with $(q,p)$--Laplacian

On periodic solutions of nonautonomous second order Hamiltonian systems with ( q , p ) - Laplacian

A new existence result is obtained for nonautonomous second order Hamiltonian systems with (q, p)-Laplacian by using the minimax methods.

Periodic Solutions of Second-order Nonautonomous Impulsive Differential Equations

The main purpose of this paper is to study the existence of periodic solutions of second order impulsive differential equations with superlinear nonlinear terms. Our result generalizes one of Paul H. Rabinowitz’s existence results of periodic solutions of second order ordinary differential equations to impulsive cases. Mountain Pass Lemma is applied in order to prove our main results. AMS Subje...

Periodic Solutions of Second-order Nonautonomous Dynamical Systems

Periodic solutions to second order nonautonomous differential systems with gyroscopic forces

Keywords: Second order differential systems Saddle point theorem Generalized Ahmad–Lazer–Paul type condition a b s t r a c t Existence of periodic solutions to second order differential systems with gyroscopic forces is considered via variational methods, where a generalized Ahmad–Lazer–Paul type condition is used. We do not impose the condition that the gyroscopic forces are small.

ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *

The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.