## Abstract We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equati
Periodic Solutions of Infinite Delay Evolution Equations
β Scribed by James H. Liu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 130 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
determined by the initial function is a condensing operator with respect to Kuratowski's measure of non-compactness in a phase space C , and then derive g periodic solutions from bounded solutions by using Sadovskii's fixed point theorem. This extends the study of deriving periodic solutions from bounded solutions to infinite delay differential equations in general Banach spaces.
π SIMILAR VOLUMES
By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic LotkaαVolterra equations and systems with distributed or statedependent delays. Our results substantially extend and imp
Sufficient conditions are obtained for the existence of a positive periodic Λn Ε½ . Ε½ .w Ε½ . Ε½ . solution of the periodic neutral delay equation N t s N t a t y Γ b t js1 j n Ε½ . Ε½ . Ε½ . x N t y y Γ c t N t y , which arise in a ''food-limited'' population model. j j s 1 j j
The purpose of this paper is to show how the decomposition theory of linear autonomous and pseudo almost periodic systems can be used to obtain results for ''perturbed'' linear systems with pseudo almost periodic coefficients. This theory together with a natural adaptation of the methods for ordinar
This work is devoted to the study of the existence of an unbounded continuum of periodic solutions that appear by Hopf bifurcation in non-linear delay differential equations. Our main objective is to give a theorem that guarantees the appearance of an unbounded continuum of periodic solutions. Furth