Lyapunov-type inequality for higher order difference equations

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

“…Our results not only complement the existing results established in the literature, such as those in [37,39,43], but also furnish a handy tool for the study of qualitative properties of solutions of some 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,…”

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 inequalities of left focal q-difference boundary value problems and applications

“…The famous Lyapunov inequality [1] The Lyapunov inequality has many practical applications in differential and difference equations, for example: oscillation theory, disconjugacy, eigenvalue problems, etc. ; see [2][3][4][5][6][7][8][9][10][11][12] and references therein.…”