Page 1 LECTURE NOTES IN APPLIED AND COMPUTATIONAL MECHANICS VOL. 43 Raouf A.
Ibrahim Vibro-Impact Dynamics Modeling, Mapping and Applications Springer Page 2 Lecture …

We prove the existence of periodic solutions for a planar non-autonomous Hamiltonian
system which is a small perturbation of an autonomous system, in the presence of a non …

We improve a generalized saddle point theorem, whose original version was by J. Liu, using
Lusternik-Schnirelmann variational methods. Based on this new saddle point theorem we …

A geometric method is introduced to study superlinear second order differential equations
with impulsive effects. Basing on a reference continuous polar lifting of a planar orientation …

This article deals with the existence, multiplicity, minimal complexity, and global structure of
the subharmonic solutions to a class of planar Hamiltonian systems with periodic …

We consider the problem of the existence and multiplicity of periodic solutions associated to
a class of scalar equations of the form x ″+ f (t, x)= 0. The class considered is such that the …

We present sufficient conditions for the existence of at least a non-collision periodic solution
for singular systems under weak force conditions. We deal with two different types of …

We study the problem of existence and multiplicity of subharmonic solutions for a second
order nonlinear ODE in presence of lower and upper solutions. We show how such …

We investigate the multiplicity of subharmonic solutions for indefinite planar Hamiltonian
systems J⁢ z′=∇⁡ H⁢(t, z) from a rotation number viewpoint. The class considered is such …

We consider the model of a ball elastically bouncing on a racket moving in the vertical
direction according to a given periodic function f (t). The gravity force is acting on the ball …