Anti-periodic solutions for evolution equations with mappings in the class (S+)

✍ Scribed by Yu Qing Chen; Yeol Je Cho; Donal O'Regan

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 117 KB
• Volume: 278
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200410245

✦ Synopsis

Abstract

In this paper, we study the existence of anti‐periodic solutions for the first order evolution equation

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in a Hilbert space H, where G : H → ℝ is an even function such that ∂G is a mapping of class (S~+~) and f : ℝ → ℝ satisfies f(t + T) = –f(t) for any t ∈ ℝ with f(·) ∈ L^2^(0, T; H). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)