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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2015

01-06-2015 | Original Research

Existence of positive solutions for \(n\)th-order singular sublinear boundary value problems with all derivatives

Author: Zhongli Wei

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2015

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Abstract

This paper investigates the existence of positive solutions for \(n\)th-order (\(n\ge 3\)) singular sub-linear boundary value problems with all derivatives. A necessary and sufficient condition for the existence of \(C^{n-1}[0,1]\) positive solutions is given by constructing lower and upper solutions and with the comparison theorem. Our nonlinearity \(f(t,x_1,x_2,\ldots ,x_n)\) may be singular at \(x_i=0,\ i=1, \ 2,\ \ldots ,\ n, \ t=0\) and /or \(t=1\).
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Metadata
Title
Existence of positive solutions for th-order singular sublinear boundary value problems with all derivatives
Author
Zhongli Wei
Publication date
01-06-2015
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2015
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-014-0790-5

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