Abstract: | In this paper we consider the second order discontinuous equation in the real line, with ? an increasing homeomorphism such that and , with , for , a L1‐Carathéodory function and verifying an adequate relation. We remark that the existence of heteroclinic solutions is obtained without asymptotic or growth assumptions on the nonlinearities ? and f. Moreover, as far as we know, our main result is even new when , that is, for the equation ![urn:x-wiley:0025584X:media:mana201700470:mana201700470-math-0011 urn:x-wiley:0025584X:media:mana201700470:mana201700470-math-0011]() |