Anti-periodic solutions to a class of second-order evolution equations  

关于一类二阶发展方程的反周期解(英文)

作　　者：张莉娜[1] 薛星美[2] 

机构地区：[1]东南大学数学系,南京210096 [2]安徽理工大学数理系,淮南232001

出　　处：《Journal of Southeast University(English Edition)》2003年第4期432-436,共5页东南大学学报（英文版）

摘　　要：In this paper we discuss the anti-periodic problem for a class of abstractnonlinear second-order evolution equations associated with maximal monotone operators in Hilbertspaces and give some new assumptions on operators. We establish the existence and uniqueness ofanti-periodic solutions, which improve andgeneralize the results that have been obtained. Finally weillustrate the abstract theory by discussing a simple example of an anti-periodic problem fornonlinear partial differential equations.本文研究了在Hilbert空间中与极大单调算子族相联系的抽象的二阶发展方程的反周期问题 ,给出了关于算子族 {A(t) :0≤t≤T}的新的假设 ,并在此假设下证明了反周期解的存在性与惟一性 ,推广了已有的结果 .最后给出一个例子说明抽象的反周期问题在非线性偏微分方程中的简单应用 .

关 键 词：maximal monotone operator anti-periodic solution poincare inequality second-order evolution equations 

分 类 号：O175.2[理学—数学]