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Zbl 0878.45006
Constantin, Adrian
Monotone iterative technique for a nonlinear integral equation. (English)
[J] J. Math. Anal. Appl. 205, No.1, 280-283 (1997). ISSN 0022-247X

The monotone iterative technique is used to prove the existence of positive solutions to nonlinear integral equations of Volterra type. In a special case the author proves the uniqueness of the solution.
[L.Hacia (Poznań)]
MSC 2000:
*45M20 Positive solutions of integral equations
45G10 Nonsingular nonlinear integral equations
45L05 Theoretical approximation of solutions of integral equations

Keywords: nonlinear Volterra integral equation; monotone iterative technique; existence; positive solutions; uniqueness

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