Dj. Guo, POSITIVE FIXED-POINTS AND EIGENVECTORS OF NONCOMPACT DECRESING OPERATORS WITH APPLICATIONS TO NONLINEAR INTEGRAL-EQUATIONS, Chinese annals of mathematics. Ser. B, 14(4), 1993, pp. 419-426
The author first establishes an existence and uniqueness theorem of po
sitive fixed points and a theorem about the structure of positive eige
nvectors for noncompact decreasing operators, and then, offers some ap
plications to nonlinear integral equations on unbounded regions.