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A nonlinear Abel equation on the whole line. (English) Zbl 0993.45006
The author investigates some properties of the solutions of the Volterra integral equation $$u(x)=\int_{-\infty}^{x}(x-s)^{\alpha-1}g(u(s)) ds\quad (-\infty<x,\ 0<\alpha<1),$$ where $g:[0,\infty)\rightarrow [0,\infty)$ is continuous and nondecreasing with $g(0)=0$ and $g(x)>0$ for $x>0$.

MSC:
45G05Singular nonlinear integral equations
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References:
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