%0 Journal Article
%T Bounded and Periodic Solutions of Integral Equations
%A Burton
%A T. A
%A Zhang
%A Bo
%J Cubo (Temuco)
%D 2012
%I Scientific Electronic Library Online
%R 10.4067/S0719-06462012000100006
%X in this paper we introduce a new method for obtaining boundedness of solutions of integral equations. from the integral equation we form an integrodifferential equation by computing x' + kx to which we apply a liapunov functional. this can be far more effective than the usual technique of differentiating the equation. the qualitative properties derived from that equation are then transferred to a majorizing function for the integral equation. schaefer's fixed point theorem is used to conclude that there is a periodic solution. three kinds of integral equations are studied and they are shown to be related through two examples.
%K integral equations
%K boundedness
%K periodic solutions
%K liapunov functions.
%U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462012000100006&lng=en&nrm=iso&tlng=en