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Positive solutions for second order differential systems with nonlocal conditions

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Open access
Authors
Hao, X.
Liu, L.
Wu, Yong Hong
Date
2012
Type
Journal Article

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Citation
Hao, Xinan and Liu, Lishan and Wu, Yong Hong. 2012. Positive solutions for second order differential systems with nonlocal conditions. Fixed Point Theory. 13 (2): pp. 507-516.
Source Title
Fixed Point Theory
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Abstract

A class of second order differential systems with nonlocal conditions is considered under some conditions concerning the first eigenvalue of the relevant linear problem. By constructing a cone K1 × K2 which is the Cartesian product of two cones and computing the fixed point index in K1 × K2, the existence of positive solutions for the systems is established. An example is provided to illustrate the main results.