A class of third-order semi-canonical differential equations with a superlinear neutral term of the type ( a( t ) [ ( b( t )( x( t )+p( t ) x α ( τ ) )’ )’ ] β )+q( t ) x λ ( σ( t ) )=0 is considered.

In this paper we prove the global existence and describe the asymptotic behaviour of a family of oscillatory solutions of Cauchy problems for a class of scalar second order quasilinear wave equations, ...