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Kybernetika 40(4):477-489, 2004.

Anti-periodic Solutions to a Parabolic Hemivariational Inequality

Jong Yeoul Park, Sun Hye Park and Hyun-Min Kim


Abstract:

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


Keywords: hemivariational inequality; variational-hemivariational inequality; anti-periodic boundary value problems;


AMS: 35K50; 35K55; 47J20; 35B10;


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BIB TeX

@article{kyb:2004:4:477-489,

author = {Park, Jong Yeoul and Park, Sun Hye and Kim, Hyun-Min},

title = {Anti-periodic Solutions to a Parabolic Hemivariational Inequality},

journal = {Kybernetika},

volume = {40},

year = {2004},

number = {4},

pages = {477-489}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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