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


Yuji Liu

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

Shenping Chen

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

Changyou Wang

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

Lihu Deng

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


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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