Almost Periodic Solutions of Monotone Second-Order Differential Equations

被引：0

作者：

Ayachi, Moez ^{[1
]}

Blot, Joel ^{[2
]}

Cieutat, Philippe ^{[3
]}

机构：

[1] Fac Sci Gabes, Dept Math, Cite Erriadh 6072, Gabes, Tunisia

[2] Univ Paris 01, SAMM EA 4543, F-75013 Paris, France

[3] Univ Versailles St Quentin En Yvelines, CNRS, UMR 8100, LMV, F-78035 Versailles, France

来源：

ADVANCED NONLINEAR STUDIES | 2011年 / 11卷 / 03期

关键词：

Hilbert spaces; Bohr-almost periodic; Besicovitch-almost periodic; maximal monotone operators; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give sufficient conditions for the existence of almost periodic solutions of the second-order differential equation u '' (t) = f (u(t)) + e(t) on a Hilbert space H, where the vector field f: H -> H is monotone, continuous and the forcing term e : R -> H is almost periodic. Notably, we state a result of existence and uniqueness of the Besicovitch almost periodic solution, then we approximate this solution by a sequence of Bohr almost periodic solutions.

引用

页码：541 / 554

页数：14

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