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

Ravi P. Agarwal, Donal O'Regan

DOI: http://dx.doi.org/10.12775/TMNA.2006.027

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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