Deviating arguments, impulsive effects, and positive solutions for second order singular p-Laplacian equations

Abstract

Using a new method for dealing with second order singular p-Laplacian equations with impulsive effects and deviating arguments, several new and more general results are obtained for the existence of at least single, twin or triple positive solutions by using Krasnosel'skii and Zabreiko's fixed point theorem, the fixed point theorem due to Avery and Henderson, and Leggett-Williams' fixed point theorem. We discuss our problems under two cases when the deviating arguments are delayed or advanced. Our results cover equations without deviating arguments and are compared with some recent results by Kajikiya, Lee, and Sim.