On Lyapunov-type inequality for a class of quasilinear systems

Lyapunov-Type Inequalities for Quasilinear Systems with Antiperiodic Boundary Conditions

“…Motivated by the paper [2] and [19], the purpose of this paper is to get three types of Lyapunov inequalities for one-dimensional p-Laplacian system. In Section 2, we show Lyapunov inequality for one-dimensional p-Laplacian problem…”

“…More recently, by adopting the method used in Napoli and Pinasco [13], Cakmak and Tiryaki [2] generalized Lyapunov-type inequality (1.3) to the following more general quasilinear systems:…”

On Lyapunov-type inequalities for (n+ 1)st order nonlinear differential equations with the antiperiodic boundary conditions

“…This result has found many applications in areas like eigenvalue problems, stability, oscillation theory, disconjugacy, etc. Since then, there have been several results to improve and generalize the linear equation (1.1) in many directions [1][2][3][4][13][14][15][16].…”

Lyapunov type inequalities and their applications for quasilinear impulsive systems

“…The half linear version of Lyapunov inequality was obtained in [5][6][7][8][9]. To the best of our knowledge, although many results have been obtained for quasilinear systems [10][11][12][13][14][15][16][17][18][19][20][21][22][23], there is little known for the impulsive quasilinear systems [24]. Although there is a large body of literature on quasilinear systems that we can not cover completely, the results in [10,11,24] and in [22] are worth mentioning due to their contribution to these subject.…”