Existence results of weak solution to perturbed Kirchhoff type problems for impulsive differential equations

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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.

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Published

2018-08-27

How to Cite

Existence results of weak solution to perturbed Kirchhoff type problems for impulsive differential equations. (2018). Nonlinear Studies, 25(3). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/1598