By　means　of　topological　theory,　a　class　of　Lienard　type　equations　with　a　deviating　argument　of　the　form　(phi(p)(x＇(t)))＇　+　f(x(t　-　tau))　x＇(t　-　tau)　+　beta(t)g(x(t　-　tau))　=　e(t)　is　studied.　It　is　notable　that　the　coefficient　beta(t)　in　front　of　g(x(t　-　tau))　is　allowed　to　change　sign　in　this　paper.　Moreover,　a　numerical　simulation　is　carried　out　to　verify　the　validity　of　the　obtained　results.　In　addition,　the　generalized　form　of　the　above　equation　with　time-varying　delays　is　also　discussed　briefly.