Lyapunov, Opial and Beesack inequalities for one-dimensional p(t)-Laplacian equations

Lyapunov-Type Inequalities for Second-Order Boundary Value Problems with a Parameter

“…where q + (t): � max q(t), 0 . Following Lyapunov's landmark work, there have been plenty of references focused on the Lyapunov-type inequality and its generalizations which are widely used in various problems such as asymptotic theory, disconjugacy, and eigenvalue problems of differential equations and difference equations (see [29][30][31][32][33][34][35][36][37][38][39][40][41] and the references therein).…”

ON STEKLOV BOUNDARY VALUE PROBLEMS FOR p(x)-LAPLACIAN EQUATIONS Vol. 5(2) July 2017, No. 28, pp. 289-297 I. EKINCIOGLU, R. AYAZOGLU(MASHIYEV)

“…In recent years there has been an increasing interest in the study of various mathematical problems with variable exponent (see for example [2,6,7,17]). The nonlinear problems involving the p(x)-Laplace operator are extremely attractive because they can be used to model dynamical phenomena which arise from the study of electrorheological ‡uids or elastic mechanics [20].…”