摘要：By means of topological theory, a class of Liénard type equations with a deviating argument of the form ( φ p ( x ′ ( t ) ) ) ′ + f ( x ( t − τ ) ) x ′ ( t − τ ) + β ( t ) g ( x ( t − τ ) ) = e ( t ) $( arphi_{p}(x'(t)))'+f(x(t- au))x'(t- au)+ eta(t)g(x(t- au))=e(t)$ is studied. It is notable that the coefficient β ( t ) $ eta(t)$ in front of g ( x ( t − τ ) ) $g(x(t- au))$ 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.
关键词：periodic solution ; p -Laplacian ; topological theory ; time-varying coefficient
