References
Amann, H.: Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces (to appear)
Krasnoselskii, M.: Topological methods in the theory of nonlinear integral equations. Moscow 1956. Eng. transl.: New York: MacMillan 1964
Krein, M. G., Rutman, M. A.: Operators leaving invariant a cone in Banach spaces. Amer. Math. Soc. Transl.26 (1950)
Nirenberg, L.: Functional analysis. Courant Institute of Mathematical Sciences, Lecture Notes. New York University 1961
Pimbley, G. H., Jr.: Positive solutions of a quadratic integral equation. Arch. Rat. Mech. Anal.24, 107–127 (1967)
Ramalho, R.: On existence theorems for nonlinear integral equations. Ph. D. Thesis. Courant Institute of Mathematical Sciences. New York University 1968
Wertheim, M.: Analytic solutions of the Percus-Yevick equation. J. Math. Phys.5 (1964)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ramalho, R. Existence and uniqueness theorems for a nonlinear integral equation. Math. Ann. 221, 35–44 (1976). https://doi.org/10.1007/BF01434962
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01434962