Article ID Journal Published Year Pages File Type
9501698 Journal of Differential Equations 2005 19 Pages PDF
Abstract
We study the existence, non-existence, and multiplicity of positive solutions for a class of systems of second-order ordinary differential equations using the fixed-point theorem of cone expansion/compression type, the upper-lower solutions method, and degree arguments. We apply our abstract results to study semilinear elliptic systems in bounded annular domains with non-homogeneous boundary conditions. Here the nonlinearities satisfy local superlinear assumptions.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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