## Abstract Using a degreeโtheoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__โperiodic solutions of a Volterra equation, then there is a __T__โperiodic solution. The __a priori__ bound is established by means of a L
The behavior of solutions of linear integro-differential equations with unbounded delay
โ Scribed by I.-G.E. Kordonis; Ch.G. Philos
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 280 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
A basic theorem on the behavior of solutions of scalar linear integro-differential equations with unbounded delay is established. As a consequence of this theorem, a stability criterion is obtained.
๐ SIMILAR VOLUMES
Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are established. A new Gronwall-Bellman type lemma for integro-differential inequalities
This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet ty