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

✍ Scribed by Yuqing Chen; Juan J. Nieto; Donal O’Regan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
220 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work, we study the anti-periodic problem for a nonlinear evolution inclusion where the nonlinear part is an odd maximal monotone mapping and the forcing term is an antiperiodic mapping. Several existence results are obtained under suitable conditions. An example is presented to illustrate the results.

📜 SIMILAR VOLUMES

Anti-periodic solutions for evolution eq
Anti-periodic solutions for evolution equations with mappings in the class (S+)
✍ Yu Qing Chen; Yeol Je Cho; Donal O'Regan 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB 👁 1 views

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

Periodic solutions for nonlinear differe
Periodic solutions for nonlinear differential equations with maximal monotone terms
✍ Shouchuan Hu; Nikolaos S. Papageorgiou 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 156 KB

We examine nonlinear periodic problems for scalar and vector di erential equations involving a maximal monotone operator which is not necessarily deÿned everywhere. In the scalar case, the nonlinear di erential operator depends on both x and x , linearly in x , while in the vector case the di erenti