数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1426-1434.doi: 10.1016/S0252-9602(12)60111-8

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

刘贵方1, 刘益良2*   

  1. 1.Department of Mathematics, Hunan City University, Yiyang 413000, China; 2.College of Science, Guangxi University for Nationalities, Nanning 530006, China
  • 收稿日期:2010-11-04 修回日期:2011-04-15 出版日期:2012-07-20 发布日期:2012-07-20
  • 通讯作者: 刘益良,yiliangliu100@126.com E-mail:guifangliu100@163.com;yiliangliu100@126.com
  • 基金资助:

    Project supported by NSF of China (10971019).

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

 LIU Gui-Fang1, LIU Yi-Liang2*   

  1. 1.Department of Mathematics, Hunan City University, Yiyang 413000, China; 2.College of Science, Guangxi University for Nationalities, Nanning 530006, China
  • Received:2010-11-04 Revised:2011-04-15 Online:2012-07-20 Published:2012-07-20
  • Contact: LIU Yi-Liang,yiliangliu100@126.com E-mail:guifangliu100@163.com;yiliangliu100@126.com
  • Supported by:

    Project supported by NSF of China (10971019).

摘要:

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.

关键词: anti-periodic solutions, nonmonotone perturbations, differential inclusions, hemivariational inequalities

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

中图分类号: 

  • 34G05