ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Existence of Three Bounded Positive Solutions of Quasi-linear functional differential equations

Author(s):

Yuji Liu

Department of Mathematics,
Hunan Institute of Science and Technology,
Yueyang 414000, P.R.China

liuyuji888@sohu.com

Shenping Chen

Department of Mathematics,
Guangdong University of Business Studies,
Guangzhou 510320, P.R.China

liuyuji888@sohu.com

Changyou Wang

College of Mathematics and Physics,
Chongqing University of Posts and Telecommunications,
Chongqing 400065 P.R. China

liuyuji888@sohu.com

Lihu Deng

Institute Applied Mathematics,
Dongguan University of Technology,
Dongguan, 523106, China

liuyuji888@sohu.com

Abstract:

By applying Leggett-Williams fixed-point theorem in cones in Banach spaces, we obtain existence results of at least three bounded positive solutions for a functional differential equation with p-Laplacian
Supported by Natural Science Foundation of Hunan province, P.R.China(No:06JJ5008), Natural Science Foundation of Guangdong province (No:7004569) and Natural Science Foundation Project of CQ CSTC (No:2008BB7415)

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