| Volume 10, Number 6, 2020, Pages 2521-2536 DOI：10.11948/20190413 |
| Variational methods to the fourth-order linear and nonlinear differential equations with non-instantaneous impulses |
| Shihan Wang,Yu Tian |
| Keywords:Variational methods, non-instantaneous impulses, fourth-order, linear and nonlinear differential equations. |
| Abstract: |
| In this paper, the existence of solutions for the fourth-order linear and nonlinear differential equations with non-instantaneous impulses is studied by applying variational methods. The interesting point lies in that the variational structures corresponding to the fourth-order linear and nonlinear differential equations with non-instantaneous impulses are established for the first time. |
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