This article is concerned with the oscillation of the forced second order differ- ential equation with mixed nonlinearities(a(t)(x'(t))γ)'+po(t)xγ(go(t))+n∑t=1pi(t)|x(gi(t))|αi sgn x(gi...This article is concerned with the oscillation of the forced second order differ- ential equation with mixed nonlinearities(a(t)(x'(t))γ)'+po(t)xγ(go(t))+n∑t=1pi(t)|x(gi(t))|αi sgn x(gi(t))=e(t),where γ is a quotient of odd positive integers αi〉0,i=1,2 ……n,a,e,and pi ∈ C([0,∞)R),a(t)〉0,gi:R→R are positive continuous functions on R with lim gi (t)=∞,i=0,1,……,n. Our results generalize and improve the results in a recent article by Sun and Wong[29].展开更多
文摘This article is concerned with the oscillation of the forced second order differ- ential equation with mixed nonlinearities(a(t)(x'(t))γ)'+po(t)xγ(go(t))+n∑t=1pi(t)|x(gi(t))|αi sgn x(gi(t))=e(t),where γ is a quotient of odd positive integers αi〉0,i=1,2 ……n,a,e,and pi ∈ C([0,∞)R),a(t)〉0,gi:R→R are positive continuous functions on R with lim gi (t)=∞,i=0,1,……,n. Our results generalize and improve the results in a recent article by Sun and Wong[29].