A VARIATIONAL APPROACH TO IMPULSIVE
STURM-LIOUVILLE DIFFERENTIAL EQUATIONS
WITH NONLINEAR DERIVATIVE DEPENDENCE
Zahra Mehraban1, Shapour Heidarkhani2, Stepan A. Tersian3
1,2Department of Mathematics
Faculty of Sciences, Razi University
Kermanshah - 67149, IRAN
3Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev str. Block 8
Sofia - 1113, BULGARIA

Abstract

We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. By applying a critical point theory, we give some criteria to guarantee that our impulsive problem has at least three solutions under rather different assumptions and an exact interval of parameter $\lambda$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 5
Year: 2019

DOI: 10.12732/ijam.v32i5.8

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