This paper deals with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equation by employing the fixed-point theorem in cones. Applying the general theorems established to several biomathematieal models, the paper improves some previous result
Optimal Existence Theory for Single and Multiple Positive Periodic Solutions of Functional Differential Equations
โ Scribed by D. Jiang; D. O'Regan; R. P. Agarwal
- Book ID
- 111602735
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 140 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1536-0059
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, the existence of at least three positive solutions for the boundary value problem (BVP) of second-order functional differential equation with the form Y"(t) + f (6 Yt
Under suitable conditions on f(t, yt (0)), the boundary value problem of second-order functional differential equation (FDE) with the form: ( ~y(t) + 5y'(t) = ~(t), for t E [1, 1 + a], (BVP) has at least one positive solution. Moreover, we also apply this main result to establish several existence
The principle of this paper is to deal with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments. Easily verifiable sufficient criteria are established. The approach is based on the fixed-point theor