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Periodic Solutions of Liénard Equations with Singular Forces of Repulsive Type

✍ Scribed by Meirong Zhang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
173 KB
Volume
203
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we will use the coincidence degree to give an existence result of periodic solutions for the scalar Lienard equations with singular forces of repulsive type.

The main result of this paper clearly describes what balance conditions between the singular force at the singularity and at the infinity should be imposed if the equation has a periodic solution. As an application, we will improve the results of Ding, Ye, and Wang for the Brillouin electron beam focusing system.

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✍ M.Ait Babram; R. Benkhalti 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 156 KB

In this paper we give necessary and sufficient conditions for the existence of periodic solutions for convex functional differential equations of neutral type with finite and infinite delay.