Abstract
<abstract><p>In this paper, we give the relation between a relative Morse index for two continuous symmetric matrices paths in $ {{\bf R}}^{2n} $ satisfying condition (BS1) and the Maslov-type indices under symmetric brake orbit boundary value of these two symmetric matrices paths. As application, we obtain a multiple existence of symmetric brake orbit solutions of asymptotically linear symmetric reversible Hamiltonian systems.</p></abstract>
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