In this note, a Massera type criterion for the existence of periodic solutions for linear functional differential equations with advance and delay is established. Because of the presence of an advanced argument, the definition of the fundamental solution operator seems unknown. Hence a method differ
Quarkonial decomposition suitable for functional-differential equations of delay type
β Scribed by Yoshihiro Sawano; Tsuyoshi Yoneda
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 171 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In this paper we apply quarkonial decomposition to the ordinary differential equation of delay type f β²(x) = f (x β 1), x β₯ 1. We shall derive an explicit formula in terms of the quarkonial decomposition. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
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 HilleαYosida condition. In the nonlinear case we give several criteria to ensure the existence of