The existence of solutions to a Volterra integral equation
Tom 64 / 1996
Annales Polonici Mathematici 64 (1996), 175-182
DOI: 10.4064/ap-64-2-175-182
Streszczenie
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.