A Existence Theory for Positive Solutions to Superlinear Repulsive Singular Differential Equations with Impulse Effects
In this paper, we study positive solutions to the repulsive singular perturbation Hill equations with impulse effects. It is proved that such a perturbation problem has at least one positive impulsive periodic solution by a nonlinear alternative of Leray--Schauder.
Zhu Zhilin & Patrick Wang
Z. X. Ying and G. L. Hong, "A Existence Theory for Positive Solutions to Superlinear Repulsive Singular Differential Equations with Impulse Effects", Applied Mechanics and Materials, Vols. 40-41, pp. 149-155, 2011