### Positive solutions for a class of Volterra integral equations via a fixed point theorem in Fréchet spaces

#### Abstract

Motivated by the Emden differential equation we discuss in this

paper the existence of positive solutions to the integral equation

$$

y(t)=\int^t_0 k(t,s)f(y(s))ds \quad\text{for } t\in [0,T).

$$

paper the existence of positive solutions to the integral equation

$$

y(t)=\int^t_0 k(t,s)f(y(s))ds \quad\text{for } t\in [0,T).

$$

#### Keywords

Volterra integral equation; Emden differential equation; positive solution; fixed point theorem

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