Bounded Solutions of the Second Order Differential Equation x ̈+f(x) x ̇+g(x)=u(t)
Abstract
In this paper we prove the boundedness of the solutions and their derivatives of the second order ordinary differential equation x ̈+f(x) x ̇+g(x)=u(t), under certain conditions on f,g and u. Our results are generalization of those given in [1].
Keywords
Boundedness of solutions, Second order ordinary differential equations, Systems of differential equations, limit cycles.Metrics