Variational Approaches for Lagrangian Discrete Nonlinear Systems

Ahmed A. H. Alkhalidi, Ghasem A. Afrouzi and Somayeh Khademloo
Additional contact information
Ahmed A. H. Alkhalidi: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Ghasem A. Afrouzi: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Somayeh Khademloo: Faculty of Basic Sciences, Babol (Noushirvani) University of Technology, Babol, Iran

Mathematics, 2019, vol. 7, issue 3, 1-14

Abstract: In this paper, we study the multiple solutions for Lagrangian systems of discrete second-order boundary value systems involving the discrete p -Laplacian operator. The technical approaches are based on a local minimum theorem for differentiable functionals in a finite dimensional space and variational methods due to Bonanno. The existence of at least one solution, as well as three solutions for the given system are discussed and some examples and remarks have also been given to illustrate the main results.

Keywords: discrete second order boundary value system; multiple solutions; critical point theory; Lipschitz condition; discrete p-Laplacian operator; Lagrangian discrete system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/3/276/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/3/276/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:3:p:276-:d:214955

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().