Geodesic
Positive periodic solutions of neutral functional differential equations with a parameter and impulse
Electronic journal of differential equations, Tome 2008 (2008)
In this paper, we consider first-order neutral differential equations with a parameter and impulse in the form of

$\displaylines{ \frac{d}{dt}[x(t)-c x(t-\gamma)]=-a(t)g(x(h_1(t)))x(t)+\lambda b(t) f\big(x(h_2(t))\big),\quad t\neq t_j;\cr \Delta \big[x(t)-c x(t-\gamma)\big]=I_j\big(x(t)\big),\quad t=t_j,\; j\in\mathbb{Z}^+. }$

Leggett-Williams fixed point theorem, we prove the existence of three positive periodic solutions.
Classification : 34K13, 34K40
Keywords: periodic solution, functional differential equation, fixed point, cone 
@article{EJDE_2008__2008__a57,
     author = {Fan,  Xuanlong and Li,  Yongkun},
     title = {Positive periodic solutions of neutral functional differential equations with a parameter and impulse},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1170.34347},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a57/}
}
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AU  - Li,  Yongkun
TI  - Positive periodic solutions of neutral functional differential equations with a parameter and impulse
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%A Li,  Yongkun
%T Positive periodic solutions of neutral functional differential equations with a parameter and impulse
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Fan,  Xuanlong; Li,  Yongkun. Positive periodic solutions of neutral functional differential equations with a parameter and impulse. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a57/