Using functional analytic methods bifurcations of bounded solutions from homoclinic orbits for time perturbed discontinuous systems are studied. An illustrative example of a periodically perturbed piecewise linear differential equation in R^3 is also presented.
Homoclinic Trajectories in Discontinuous Systems / Battelli, Flaviano; Feckan, M.. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - 20 (2):(2008), pp. 337-376.