Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms.
In this paper we study the boundedness of solutions of some third-order delay differential equation in which is not necessarily differentiable but satisfy a Routh–Hurwitz condition in a closed interval .
Per l'equazione differenziale ordinaria non lineare del 3° ordine indicata nel titolo, studiata da numerosi autori sotto l'ipotesi
We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix. Based on the relations between the real parts of the eigenvalues and the weighted logarithmic matrix norms, we derive both lower and upper bounds of the matrix exponential, which complement and improve the existing results in the literature. Some numerical examples are also...