A discrete analogue of Lyapunov-type inequalities for nonlinear systems

Lyapunov-type inequalities for certain higher-order difference equations with mixed non-linearities

“…Compared with a large number of references devoted to continuous Lyapunov-type inequalities, there is not much done for discrete Lyapunov-type inequalities (see [6,13,21,29,39,59] and the references therein). For example, Zhang and Tang [29] considered the following even order difference equation:…”

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

“…Recently, Guseinov and Kaymakçalan [6], and Tiryaki, Ünal and Çakmak [21] have obtained the Lyapunov-type inequalities for first order systems. The discrete and time scale analogues of Lyapunov-type inequalities for certain type systems are also given by Ünal, Çakmak and Tiryaki [22], Jiang and Zhou [8], and Ünal and Çakmak [23].…”

Lyapunov-type inequalities for higher-order half-linear difference equations

“…For some recent work, the reader is referred to [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] and the references therein. In particular, Liu and Tang [37] studied the following m-order p-Laplace difference equation: m u(n) p-2 m u(n) + r(n) u(n) p-2 u(n) = 0,…”