| Abstract: |
| Semi-linear operators are common in the applications of Boundary Value Problems. A semi-linear operator can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on the associated properties between the linear and the nonlinear parts. The results are related to the theory of nonlinear and semi-linear spectrum. Applications of the theorems are given by examples of positive solutions for
a second-order differential equation with separated boundary conditions. |
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