Abstract

AbstractIn this paper we consider the second order discontinuous equation in the real line, urn:x-wiley:0025584X:media:mana201700470:mana201700470-math-0002with ϕ 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 ϕ 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

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