# Article

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Keywords:
hemivariational inequality; variational-hemivariational inequality; anti-periodic boundary value problems
Summary:
In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b(u)$, where $b\in L^{\infty }_{{\rm loc}}({R}).$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.
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