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Ghasem Alizadeh Afrouzi

Ghasem Alizadeh Afrouzi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302463

Research

Title
Variational Approaches for Lagrangian Discrete Nonlinear Systems
Type
JournalPaper
Keywords
discrete second order boundary value system; multiple solutions; critical point theory; Lipschitz condition; discrete p-Laplacian operator; Lagrangian discrete system
Year
2019
Journal Mathematics
DOI
Researchers Ahmad Alkhaledi ، Ghasem Alizadeh Afrouzi ، somaye khademloo

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 (404).