ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS
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作者:
SUN Jingxian Department of Mathematics Xuzhou Normal University Xuzhou ChinaZHANG Kernel Department of Mathematics Qufu Normal University Qufu China
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SUN Jingxian Department of Mathematics Xuzhou Normal University Xuzhou ChinaZHANG Kernel Department of Mathematics Qufu Normal University Qufu China
[221116
,273165
]
<正> In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations.