TY  - JOUR
ID  - Bohner2017
LB  - Bohner2017
AU  - Bohner, Martin
AU  - Heidarkhani, Shapour
AU  - Salari, Amjad
AU  - Caristi, Giuseppe
TI  - Existence of three solutions for impulsive multi-point boundary value problems
ST  - Existence of three solutions for impulsive multi-point boundary value problems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 3
SP  - 353
EP  - 379
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.3.353
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.3.353
AB  - 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.
KW  - multi-point boundary value problem
KW  - impulsive condition
KW  - classical solution
KW  - variational method
KW  - three critical points theorem
SN  - 1232-9274
ER  -