Electronic Journal of Differential Equations
Abstract. We apply a recent Avery et al. fixed point theorem to the Hammerstein integral equation (see paper for equation). Under certain conditions on G, we show the existence of positive and positive symmetric solutions. Examples are given where G is a convolution kernel and where G is a Green’s function associated with different boundary-value problem.
Texas State University
Hammerstein integral equation, boundary-value problem, fractional boundary-value problem
Eloe, Paul W. and Neugebauer, Jeffrey T., "Avery Fixed Point Theorem Applied to a Hammerstein Integral Equation" (2019). Mathematics Faculty Publications. 215.