Anti-periodic solutions for evolution equations associated with monotone type mappings

被引：14

作者：

Chen, Yuqing ^{[2
]}

O'Regan, Donal ^{[3
]}

Agarwal, Ravi P. ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Guangdong Univ Technol, Fac Appl Math, Guangzhou 510006, Guangdong, Peoples R China

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 11期

关键词：

Anti-periodic; Lower semi-continuous; Demi-continuous; Pseudo-monotone; ORDINARY DIFFERENTIAL-EQUATIONS; NONLINEAR PARABOLIC EQUATIONS; ANTI-PERIODIC SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.aml.2010.06.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the anti-periodic problem {x'(t) is an element of -partial derivative phi x(t) - partial derivative Gx(t) + f (t), a.e. t is an element of R, x(t) = -x(t + T), t is an element of R in a separable Hilbert space where phi : D(phi) subset of H -> (-infinity, +infinity] is an even lower semi-continuous convex function, G : H -> R is an even continuous differentiable function such that partial derivative G is a demi-continuous mapping of class (S(+)) or pseudo-monotone and f : R -> H is a continuous mapping satisfying f(t + T) = -f(t) for t is an element of R. Two existence results are obtained. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1320 / 1325

页数：6