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Existence of a Periodic Solution for Some Partial Functional Differential Equations with Infinite Delay

✍ Scribed by Rachid Benkhalti; Hassane Bouzahir; Khalil Ezzinbi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
173 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

This paper deals with the existence of periodic solutions for some partial functional differential equations with infinite delay. We suppose that the linear part is nondensely defined and satisfies the Hille᎐Yosida condition. In the nonlinear case we give several criteria to ensure the existence of a periodic solution. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution.

📜 SIMILAR VOLUMES

Existence Results for Partial Neutral Fu
Existence Results for Partial Neutral Functional Differential Equations with Unbounded Delay
✍ Eduardo Hernández; Hernán R Henrı́quez 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 267 KB

This work is concerned with a class of quasi-linear partial neutral functional differential equations with unbounded delay. Specifically, we establish existence of mild and strong solutions for equations that can be described as an abstract Ž Ž . Ž .. Ž . Ž . functional differential equation drdt x