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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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