Study on boundedness and asymptotic behavior of solutions of nonlinear differential equation of second order

The boundedness and asymptotic behavior of solutions of second order nonlinear differential equation(a(t)x′)′+f(t,x,x′)=0is considered by using the integral inequality. Some impot results obtaind generalize and improve some of the previous results a(t) that drmod on R_+=[0,+∞)is posi twe function,and∫~∞_01a(t)dt∞,f(t,x,y) that ar defined on R_+×R×R ar continous function.