Kueiming Lo

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

In this paper, we generalize the well-known Lyapunov-type inequality for second-order linear differential equations to a class of even-order linear differential equations, the results of this paper are new and generalize some known inequalities in the literatures.

Lyapunov-type inequality for a class of odd-order differential equations

In this paper, we give a generalization of the well-known Lyapunov-type inequality for a class of odd-order differential equations, the result of this paper is new and generalizes some early results on this topic.

Lyapunov-type inequality for a class of even-order linear differential equations

In this paper, we obtain some new Lyapunov-type inequalities for a class of even-order linear differential equations. The results of this paper generalize and improve some earlier results in this field.

Lyapunov-type inequality for a class of quasilinear systems

We give a generalization of the Lyapunov-type inequality for the second-order quasilinear differential equations given in De Napoli and Pinasco (2006) [9] to a class of quasilinear differential systems of dimension n. The generalization is carried out in such a way that more general nonlinearities are allowed in our system than those in [9]. The results of this paper generalize some earlier results on this topic.

Approximation for constant e and its applications

Abstract A new approximation for the constant e is obtained and its application to Carleman’s inequality and Hardy’s inequality are obtained. The results of this paper generalize some early results on this topic.

Lyapunov-type inequalities for a class of higher-order linear differential equations

Abstract In this paper, we obtain some Lyapunov-type inequalities for a class of higher-order linear differential equations. The results of this paper generalize and improve some earlier results on this topic.

Lyapunov-type inequalities for a class of higher-order linear differential equations with anti-periodic boundary conditions ☆

Abstract In this paper, we obtain some new Lyapunov-type inequalities for a class of higher-order linear differential equations with anti-periodic boundary value condition, the results of this paper are new and generalize and improve some early results in the literature.

Lyapunov-type inequality for quasilinear systems

Abstract Some new version of the well-known Lyapunov-type inequality for a class of quasilinear systems is given. The results of this paper generalize some previous results on this topic.

Lyapunov-type inequality for a class of linear differential systems

Abstract In this paper, we give a generalization of the well-known Lyapunov-type inequality to a class of linear differential systems, the result of this paper is new and generalizes many early results in this topic.

Periodic solutions for a generalized p-Laplacian equation

Abstract The existence and uniqueness of T -periodic solutions for the following boundary value problems with p -Laplacian: ( ϕ p ( x ′ ) ) ′ + f ( t , x ′ ) + g ( t , x ) = e ( t ) , x ( 0 ) = x ( T ) , x ′ ( 0 ) = x ′ ( T ) are investigated, where ϕ p ( u ) = ∣ u ∣ p − 2 u with p > 1 and f , g , e are continuous and are T -periodic in t with f ( t , 0 ) = 0 . Using coincidence degree theory, some existence and uniqueness results are presented.