On the method of upper and lower solutions


Some results concerning the method of upper and lower solutions for nonlinear integral equations of Hammerstein type are presented.


Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Nonlinear integral equation; Hammerstein equation; Upper and lower solutions.

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R. Precup, On the method of upper and lower solutions, Seminaire de la Theorie de la Meilleure Approximation Convexite et Optimisation, Cluj-Napoca, decembre 2002, pp. 141-149.


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Seminaire de la Theolrie de la Meilleurs Approximation Convexite et Optimisation Cluj-Napoca

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[1] Brezis H., Analyse foncionnelle, Masson, Paris, 1983.
[2] Deimling K., Nonlinear Functional analysis, Springer, Berlin, 1985.
[3] Precup, R., Methods in Nonlinear Integral Equations, Kluwer, Dodrecht-Boston-London, 2002.

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