In this paper, we study the stability of n-dimensional linear fractional neutral differential equation with time delays. By using the Laplace transform, we introduce a characteristic equation for the above system with multiple time delays. We discover that if all roots of the characteristic equation have negative parts, then the equilibrium of the above linear system with fractional order is Ly...

In this paper, we establish Lyapunov-type inequalities for a single higher-order differential equation, a cycled system and a coupled system with one-dimensional p -Laplacian. Our result generalize some given results.

The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in [Formula: see text]. Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.

In this note, a new inequality is obtained for a two-term even-order linear differential equation, which generalizes the well-known Lyapunov-type inequality for second order linear differential equations. Mathematics subject classification (2010): 34A40.

Solving a system of linear equations by its normal equation usually is highly unrecommended because this approach worsens the condition number and inflates the computational cost. For linear systems whose unknowns are matrices, such as the Sylvester equation, Lyapunov equation, Stein equation, and a variate of their generalizations, the formulation of the corresponding normal equation in the se...