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

Ravi P. Agarwal, Donal O'Regan

Abstract


Motivated by the Emden differential equation we discuss in this
paper the existence of positive solutions to the integral equation
$$
y(t)=\int^t_0 k(t,s)f(y(s))ds \quad\text{for } t\in [0,T).
$$

Keywords


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

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