Lyapunov type inequalities for second-order half-linear differential equations

Abstract

In this paper, we establish some new Lyapunov type inequalities for second-order halflinear differential equations, which almost generalize and extend all related existing results in the literature.

Lyapunov-type inequalities for a class of even-order differential equations

“…A thorough literature review of continuous and discrete Lyapunov-type inequalities and their applications can be found in the survey article by Cheng [3]. Some other recent related results can be found in the articles [4][5][6][7][8][9][10][11][12][13][14].…”

Lyapunov type inequalities and their applications for quasilinear impulsive systems

“…For a comprehensive exibition of the results, we refer two surveys [3,4] and references therein. 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].…”

Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations

“…In 2011, Wang [49], and Tang and He [50], removed the positivity condition on q(t), and extended Inequality (1.10) to b a t a r −1/γ (s)ds…”