孙经先.超线性可变号核Hammerstein型积分方程的固有值[J].数学研究及应用,1987,7(1):81~85 |
超线性可变号核Hammerstein型积分方程的固有值 |
Eigenvalues of Superlinear Hammerstein Integral Equation witn Variable Sign Kernel |
投稿时间:1983-08-25 |
DOI:10.3770/j.issn:1000-341X.1987.01.015 |
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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. |
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