Zhongmin Sun; Suoquan Ren; Zhenlin Wu; Huabin Zhang

International Journal of Engineering and Manufacturing (IJEM)

IJEM Vol. 2, No. 1, 29 Feb. 2012

Cover page and Table of Contents: PDF (size: 265KB)

Multiple Positive Solutions of Two-Point Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations

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Author(s)

Zhongmin Sun ^1,* Suoquan Ren ¹ Zhenlin Wu ¹ Huabin Zhang ¹

1. Weifang Education College, Qingzhou, Shandong Province, China

* Corresponding author.

DOI: https://doi.org/10.5815/ijem.2012.01.12

Received: 16 Nov. 2011 / Revised: 21 Dec. 2011 / Accepted: 26 Jan. 2012 / Published: 29 Feb. 2012

Index Terms

Boundary value problems, Positive solutions, Green's functions, cones

Abstract

In this paper, we study the two-point boundary value problems for systems of nonlinear third-order dierential equations .Under some conditions, we show the existence and multiplicity of positive solutions of the above problem by applying the fixed point theorems in cones.

Cite This Paper

Zhongmin Sun,Suoquan Ren,Zhenlin Wu,Huabin Zhang,"Multiple Positive Solutions of Two-Point Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations", IJEM, vol.2, no.1, pp.78-87, 2012. DOI: 10.5815/ijem.2012.01.12

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