Inequalities play a fundamental rôle in all areas of mathematics and their applications.
Among several well-known inequalities, Lyapunov-type inequalities have been studied …

In this paper, by using Green's function for second order differential equations with Dirichlet
boundary condition, we establish new Lyapunov-type inequalities for third order linear …

On Lyapunov-type inequalities for $(n+1)$st order nonlinear differential equations with the
anti-periodic boundary conditions Page 1 Turkish Journal of Mathematics Volume 45 …

In this paper, an anti-periodic boundary value problem for a class of higher order nonlinear
time scale systems is studied. Based on the method of mathematical analysis and some …

In this article, we establish new Lyapunov-type inequalities for third-order linear differential
equations y‴+ q (t) y= 0 under the three-point boundary conditions y (α)= y (b)= y (c)= 0 and …

This paper is concerned with some two-point boundary value problems for fourth-order
linear differential equations. Our study is based on the absolute maximums of Green's …

In this paper, we establish the uniqueness and existence of the classical solution to higher-
order boundary value problems. Then, we give a new Lyapunov-type inequalities for higher …

In this paper, we obtain the best constant in the Lyapunov-type inequality for third-order
linear differential equations under the non-conjugate boundary conditions by bounding the …

We establish Lyapunov-type inequalities for a system involving one-dimensional (pi, qi)
(p_i,q_i)-Laplacian operators (i= 1, 2 i=1,2). Next, the obtained inequalities are used to …

In this paper, we establish the uniqueness and existence of the classical solution to higher-
order boundary value problems. Then, we give a new Lyapunov-type inequalities for higher …