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Positive solutions for vector differential equations

Author: Yan Wang
Journal: Proc. Amer. Math. Soc. 141 (2013), 4261-4274
MSC (2010): Primary 47H10; Secondary 34C25
Published electronically: August 6, 2013
MathSciNet review: 3105869
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Abstract: In this paper, we are concerned with the existence and multiplicity of positive periodic solutions for first-order vector differential equations. By using the Leray-Schauder alternative theorem and the Kransnosel'skii fixed point theorem, we show that the differential equations under the periodic boundary value conditions have at least two positive periodic solutions.

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Yan Wang
Affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, People’s Republic of China

Keywords: Positive solution, Leray-Schauder alternative theorem, Kransnosel'skii fixed point theorem
Received by editor(s): December 14, 2011
Received by editor(s) in revised form: February 2, 2012
Published electronically: August 6, 2013
Additional Notes: This work was supported by the TianYuan Special Funds of the NNSF of China (Grant No. 11026168)
Communicated by: Yingfei Yi
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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