Geodesic
The existence of solutions to a Volterra integral equation
Annales Polonici Mathematici, Tome 64 (1996) no. 2, pp. 175-182.

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We study the equation u = k∗g(u) with k such that ln k is convex or concave and g is monotonic. Some necessary and sufficient conditions for the existence of nontrivial continuous solutions u of this equation are given.
DOI : 10.4064/ap-64-2-175-182
Keywords: the Volterra convolution type integral equations

Wojciech Mydlarczyk 1

1 
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Wojciech Mydlarczyk. The existence of solutions to a Volterra integral equation. Annales Polonici Mathematici, Tome 64 (1996) no. 2, pp. 175-182. doi : 10.4064/ap-64-2-175-182. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-2-175-182/

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