Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1,p2,…,pn)-Laplacian

AbstractWe state and prove a generalized Lyapunov-type inequality for one-dimensional Dirichlet quasilinear systems involving the (p1,p2,…,pn)-Laplacian. Our result generalize the Lyapunov-type inequality given in Napoli and Pinasco (2006) [12]

Lyapunov-type inequalities for higher order difference equations with anti-periodic boundary conditions

In this paper, some new Lyapunov-type inequalities for higher order difference equations with anti-periodic boundary conditions are established. The obtained results are used to obtain the lower bounds for the eigenvalues of corresponding equations

Lyapunov-type inequalities for (m+1)(m+1)th order half-linear differential equations with anti-periodic boundary conditions

In this work, we will establish several new Lyapunov-type inequalities for $(m+1)$th order half-linear differential equations with anti-periodic boundary conditions, the results of this paper are new and generalize and improve some early results in the literature

Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. A Hartman-Wintner-type inequality is obtained for such problem. Next, several Lyapunov-type inequalities are deduced for different choices of the function g. Moreover, some applications to eigenvalue problems are presented