Positive solutions of a second-order integral boundary value problem
By Zhilin Yang. 2006
114 citations recorded by the source corpus.
In this paper we study the existence of positive solutions of a second-order integral boundary value problems for ordinary differential equations. Our results presented here unify, generalize and substantially improve the existing results in the literature. Moreover, it is worthwhile to point out that our method will dispense with constructing a new Green function.
Subfields: Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/851e039947c3998a93a5b581404273cb222196bb
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In Applied Mathematics
- Paolamaria Pietramala
- Filomena Cianciaruso
- Gennaro Infante
- Christopher S. Goodrich
- J. R. L. Webb
- Arturas Stikonas
- Lishan Liu
- Yonghong Wu
In Numerical Analysis
- Paolamaria Pietramala
- Gennaro Infante
- Filomena Cianciaruso
- Christopher S. Goodrich
- J. R. L. Webb
- Arturas Stikonas
- Lishan Liu
- Yonghong Wu
Citations in the corpus
- A CANTILEVER EQUATION WITH NONLINEAR BOUNDARY CONDITIONS (2009, background): “AMS (MOS) Subject Classifications: Primary 34B18, secondary 34B10, 47H10, 47H30”
- Solutions of perturbed Hammerstein integral equations with applications (2016, background): “4) α1x ≤ h(x) ≤ α2x, for every x ≥ 0, where 0 ≤ α1 ≤ α2, as in [34, 36, 38, 40, 50, 54, 80], or an asymptotic condition, as in [16, 22, 24, 25, 26, 27, 28, 29], or a kind of mixture of the two, as in [89, 90].”