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Existence of three solutions for impulsive nonlinear fractional boundary value problems

Heidarkhani S., Ferrara M., Caristi G., Salari A.

Opuscula Mathematica

2017

Vol. 37, no. 2

281--301

In this work we present new criteria on the existence of three solutions for a class of impulsive nonlinear fractional boundary-value problems depending on two parameters. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results.

Existence of three solutions for impulsive multi-point boundary value problems

Bohner M., Heidarkhani S., Salari A., Caristi G.

Opuscula Mathematica

2017

Vol. 37, no. 3

353--379

This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.