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Positive Solutions of Nonresonant Singular Boundary Value Problem of Second Order Differential Equations

Published online by Cambridge University Press:  22 January 2016

Zhongli Wei  and
Changci Pang
Zhongli Wei
Affiliation:
Department of Fundamental Courses, Shandong Institute of Architectural and Engineering, Jinan, Shandong, 250014, People’s Republic of China
Changci Pang
Affiliation:
Department of Fundamental Courses, Shandong Institute of Architectural and Engineering, Jinan, Shandong, 250014, People’s Republic of China
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Abstract

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This paper investigates the existence of positive solutions of nonresonant singular boundary value problem of second order differential equations. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as well as C1[0, 1] positive solutions is given by means of the method of lower and upper solutions with the fixed point theorems.

Keywords

34B15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 162 , June 2001 , pp. 127 - 148
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

References

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