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J. Korean Math. Soc. 2017; 54(2): 359-380
Online first article December 27, 2016 Printed March 1, 2017
https://doi.org/10.4134/JKMS.j140605
Copyright © The Korean Mathematical Society.
Existence of three positive solutions of a class of BVPs for singular second order differential systems on the whole line
Yuji Liu and Pinghua Yang
Guangdong University of Finance and Economics, Shijiazhuang Mechanical Engineering College
This paper is concerned with a kind of boundary value problem for singular second order differential systems with Laplacian operators. Using a multiple fixed point theorem, sufficient conditions to guarantee the existence of at least three positive solutions of this kind of boundary value problem are established. An example is presented to illustrate the main results.
Keywords: singular nonlinear differential system, positive solution, fixed point theorem
MSC numbers: 92D25, 34A37, 34K15
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