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A Method to Calculate Periodic Solutions of Functional Differential Equations

✍ Scribed by Luiz A. da C. Ladeira; Sueli M. Tanaka

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
265 KB
Volume
209
Category
Article
ISSN
0022-247X

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✦ Synopsis

We introduce a method to obtain explicitly periodic solutions of some types of functional differential equations whose periods depend rationally on integral delays. Several applications of this method are given.

πŸ“œ SIMILAR VOLUMES

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Periodic Solutions of Functional Differential Equations of Neutral Type
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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.

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Periodic Solutions of Linear Integro-Differential Equations
✍ T. A. Burton; P. W. Eloe; M. N. Islam πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 359 KB πŸ‘ 1 views

## Abstract Using a degree‐theoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__‐periodic solutions of a Volterra equation, then there is a __T__‐periodic solution. The __a priori__ bound is established by means of a L