Eigenvalues of Superlinear Hammerstein Integral Equation witn Variable Sign Kernel
Received:August 25, 1983  
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Sun Jingxian Shandong University 
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Abstract:
      In this paper we use the theory .of topological degree to investigate the eigenvalues of Hammerstein superlinear integral equations with variable sign kernel:Aφ(x)=∫GK(x,y)f(y,φ(y))dy=λφ(x). We have proved that except at most a sequence of numbers {λn}, which converges to zoro, all other numbers λ are eigenvalues of A.
Citation:
DOI:10.3770/j.issn:1000-341X.1987.01.015
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