References
Amann, H.: On the number of solutions of nonlinear equations in ordered Banach spaces. J. functional Analysis11, 346–384 (1972)
Amann, H.: Nonlinear eigenvalue problems having precisely two solutions. Math. Z.150, 27–37 (1976)
Amann, H., Laetsch, T.: Positive solutions of convex nonlinear eigenvalue problems. Indiana Univ. Math. J.25, 256–270 (1976)
Fujita, H.: On the nonlinear equations Δu+e u=0 and ∂v/∂t=Δv+e v. Bull. Amer. math. Soc.75, 132–135 (1969)
Keller, J.B.: On solutions of Δu=f(u). Commun. pure appl. Math.10, 503–510 (1957)
Kendall, D.G. in discussion on Bartlett, M.S.: Measles periodicity and community size. J. roy. statist. Soc., Ser. A,120, 48–70 (1957)
Krasnosel'skii, M.A.: Positive Solutions of Operator Equations. Groningen: Noordhoff 1964
Laetsch, T.: Existence and bounds for multiple solutions of nonlinear equations. Siam J. Appl. Math.18, 389–400 (1970)
Laetsch, T.: Uniqueness for sublinear boundary value problems. J. diff. Equations13, 13–23 (1973)
Laetsch, T.: Comparison and positivity theorems for linear and nonlinear boundary value problems. J. analyse math.27, 24–46 (1974)
Racliffe, J.: The severity of a viral hostvector epidemic. J. appl. Probab.13, 791–794 (1976)
Simpson, R.B., Cohen, D.S.: Positive solutions of nonlinear elliptic eigenvalue problems. J. Math. Mech.19, 895–910 (1970)
Thieme, H.R.: A model for the spatial spread of an epidemic. J. math. Biology (to appear)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Thieme, H.R. The asymptotic behaviour of solutions of nonlinear integral equations. Math Z 157, 141–154 (1977). https://doi.org/10.1007/BF01215148
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01215148