| Existence of Positive Solutions for Systems of Nonlinear Second-Order Differential Equations on the Half Line in a Banach Space |
| Received:November 23, 2009 Revised:January 19, 2010 |
| Key Words:
systems of singular differential equations cone and ordering positive solutions M\"onch fixed point theorem measure of non-compactness.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10971179), the China Postdoctoral Science Foundation (Grant No.20110491154), the Foundation of Outstanding Middle-Aged and Young Scientists of Shandong Province (Grant No.BS2010SF004) and a Project of Shandong Province Higher Educational Science and Technology Program (Grant No.J10LA53). |
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| Abstract: |
| In this paper, the cone theory and M\"onch fixed point theorem combined with the monotone iterative technique are used to investigate the positive solutions for a class of systems of nonlinear singular differential equations with multi-point boundary value conditions on the half line in a Banach space. The conditions for the existence of positive solutions are formulated. In addition, an explicit iterative approximation of the solution is also derived. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.04.003 |
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