Abstract:

Some new results are obtained for the oscillatory, bounded and monotone properties of solutions of forced second-order quaslinear equation (p(t -τ )(y'(t - τ))α)' = q(t)y^β(t) + r(t),t ≥ t₀, where,t₀ and τ are all nonnegative real numbers, when t ≥ t₀,p(t) is a postive real continuous function,r(t) is a real continuous function, q(t) is a nonnegative real continuous function and q(t)is not zero function , α and β are quotients of odd positive integers.

Key words: monotone, bounded, oscillatory, solutions, quaslinear differential equation, monotone, bounded, oscillatory, solutions