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Banach空间中Hammerstein型非线性积分方程的正解及其应用
引用本文:张庆政. Banach空间中Hammerstein型非线性积分方程的正解及其应用[J]. 数学物理学报(A辑), 1998, 0(Z1)
作者姓名:张庆政
作者单位:商丘高等师范专科学校数学系 河南商丘476000
摘    要:该文利用不动点指数理论,研究了Banach空间E中Hammerstein型非线性积分方程正解的存在性,并给出了其应用.文中结果即使E=R~N也是新的.

关 键 词:锥与半序  积分方程  正解  不动点指数

Positive Solution of Hammerstein Type Nonlinear Integral Equations in Banach Spaces and Application
Zhang Qingzheng Department Mathematics,Shangqiu Teachers College,Shangqiu,Henan.. Positive Solution of Hammerstein Type Nonlinear Integral Equations in Banach Spaces and Application[J]. Acta Mathematica Scientia, 1998, 0(Z1)
Authors:Zhang Qingzheng Department Mathematics  Shangqiu Teachers College  Shangqiu  Henan.
Affiliation:Zhang Qingzheng Department Mathematics,Shangqiu Teachers College,Shangqiu,Henan.476000
Abstract:In this paper, with using the fixed point index theory,the existance of positive solu-tions of Hammerstein type nonlinear integral equations in Banach space E is investigated, andapplication is given. Even if E=R~N these results are still new.
Keywords:Cone and partial ordering  integral equations  positive solution  fixed point index.
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