Positive solutions for vector differential equations
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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.References
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Additional Information
- Yan Wang
- Affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, People’s Republic of China
- Email: wangy891@gmail.com
- 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
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 4261-4274
- MSC (2010): Primary 47H10; Secondary 34C25
- DOI: https://doi.org/10.1090/S0002-9939-2013-11686-2
- MathSciNet review: 3105869