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A Class of Hammerstein Integral Equations with Applications

ZHANG Hongbin,LIU Jinsheng(Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024)  
In the case of not requiring the kernel function non-positive, the existence of nontrivial solutions for Hammerstein Integral Equations is proved by using the partial ordering and the fixed point index theory with the spectral radius of linear operators. The results are applied to ordinary differential equations with two-point values and new conclusions are obtained.
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