ANTI-PERIODIC SOLUTIONS FOR DIFFERENTIAL INCLUSIONS IN BANACH SPACES AND THEIR APPLICATIONS

doi:10.1016/S0252-9602(12)60111-8

Abstract

Abstract:

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.

Key words: anti-periodic solutions, nonmonotone perturbations, differential inclusions, hemivariational inequalities

CLC Number:

34G05

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.

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