Acta mathematica scientia, Series B >
ANTI-PERIODIC SOLUTIONS FOR DIFFERENTIAL INCLUSIONS IN BANACH SPACES AND THEIR APPLICATIONS
Received date: 2010-11-04
Revised date: 2011-04-15
Online published: 2012-07-20
Supported by
Project supported by NSF of China (10971019).
We deal with anti-periodic problems for differential inclusions with nonmono-tone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions and the theory of pseudomonotone perturbations of maximal monotone mappings. We then apply our results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems.
LIU Gui-Fang , LIU Yi-Liang . ANTI-PERIODIC SOLUTIONS FOR DIFFERENTIAL INCLUSIONS IN BANACH SPACES AND THEIR APPLICATIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1426 -1434 . DOI: 10.1016/S0252-9602(12)60111-8
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