Oscillation properties of forced third order differential equations
Consider the equation (*) \(y'''+q(t)y=f(t)\), where q(t) is positive continuous on [0,\(\infty)\), f(t) is continuous and changes sign arbitrarily on [0,\(\infty)\). The author gives integral conditions on q(t) and f(t) for every nonoscillatory solution of (*) to tend to zero. Conditions are also given for the quickly oscillatory bounded solutions of (*) to tend to zero.
scientific article; zbMATH DE number 3871814