Existence and multiplicity of positive solutions to systems of nonlinear Hammerstein integral equations
This article studies the existence and multiplicity of component-wise positive solutions for systems of nonlinear Hammerstein integral equations. In this system one nonlinear term is uniformly superlinear or uniformly sublinear, and the other is locally uniformly superlinear or locally uniform...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/52/abstr.html |
| Summary: | This article studies the existence and multiplicity of component-wise
positive solutions for systems of nonlinear Hammerstein integral equations.
In this system one nonlinear term is uniformly superlinear
or uniformly sublinear, and the other is locally uniformly superlinear
or locally uniformly sublinear.
Discussions are undertaken by means of the fixed point index theory in cones.
As applications, we show the existence and multiplicity of component-wise
positive solutions for systems of second-order ordinary differential equations
with the Dirichlet boundary value conditions and mixed boundary value conditions,
respectively. |
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| ISSN: | 1072-6691 |