%0 Journal Article %T A Variational Characterization of the Fucik Spectrum and Applications %A CASTRO %A ALFONSO %A CHANG %A CHEN %J Revista Colombiana de Matem¨¢ticas %D 2010 %I Universidad Nacional de Colombia and Sociedad Colombiana de Matem¨¢ticas %X we characterize the \it fucik spectrum (see [7]) of a class selfadjoint operators. our characterization relies on lyapunov-schmidt reduction arguments. we use this characterization to establish the existence of solutions for a semilinear wave equation. this work has been motivated by the authors results in [4] where one dimensional second order ordinary differential equations are studied. %K fucik spectrum %K saddle point principle %K asymptotic behavior. %U http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262010000100003&lng=en&nrm=iso&tlng=en