Multi-parameter fourth order impulsive integral boundary value problems with one-dimensional m-Laplacian and deviating arguments

Abstract

Using inequality techniques and fixed point theories, several new and more general existence and multiplicity results are derived in terms of different values of λ > 0 and μ > 0 for a fourth order impulsive integral boundary value problem with one-dimensional m-Laplacian and deviating arguments. We discuss our problems under two cases when the deviating arguments are delayed and advanced. Moreover, the nonexistence of a positive solution is also studied. In this paper, our results cover fourth order boundary value problems without deviating arguments and impulsive effect and are compared with some recent results by Jankowski.Keywords: multi-parameter; impulsive integral boundary value problems with advanced and delayed arguments; inequality techniques and fixed point theories; one-dimensional m-Laplacian; existence and nonexistence of positive solutions

The shooting method and positive solutions of fourth-order impulsive differential equations with multi-strip integral boundary conditions

“…To some extent, this approach has an advantage over the traditional methods. Readers can see [11][12][13][14][15][16] and the references therein for details.…”