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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Existence results of weak solution to perturbed Kirchhoff type problems for impulsive differential equations
Type
JournalPaper
Keywords
Impulsive effects; Kirchhoff type problems; Weak solution; Critical points theorems
Year
2018
Journal Nonlinear Studies
DOI
Researchers Fatemeh Vahedi ، Ghasem Alizadeh Afrouzi ، Mohsen Alimohammady

Abstract

In this paper, using a variational method and some critical points theorems, we show the existence of at least one weak solution for perturbed impulsive fourth-order Kirchhoff type problems. Indeed, using a consequence of the local minimum theorem due Bonanno we investigate the existence of one nontrivial solution for our problem under algebraic conditions on the nonlinear part. A concrete example of an application is then presented.