The asymptotic behaviour of solutions of a class of nonlinear second-order differential equations
The asymptotic behaviour of solutions of a class of nonlinear second-order differential equations
Under the assumption that the second-order linear differential equation (p(t)x′)′ + q(t)x = 0 is nonoscillatory at ∞ and has a fundamental set of solutions {f(t), g(t)}, sufficient conditions are given under which the nonlinear equation (p(t)x′)′ + q(t)x = F(t, x) possesses solutions x(t) and y(t) which are asymptotic …