A disconjugacy criterion of W.\ T.\ Reid for difference equations

Perron-Type Criterion for Linear Difference Equations with Distributed Delay

The characteristics of many real dynamical models are described by delay differential equations, see the list of recent papers [1–6]. However, delay differential equations are hard to manage analytically and thus many articles have examined the models by using the corresponding delay difference equations. In practice, one can easily formulate a discrete model directly by experiments or observat...

Nonstandard finite difference schemes for differential equations

In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...

Lyapunov-type inequalities and disconjugacy for some nonlinear difference system

*Correspondence: [email protected] 1College of Science, Hunan University of Technology, Zhuzhou, Hunan 412007, P.R. China Full list of author information is available at the end of the article Abstract We establish several new Lyapunov-type inequalities for some nonlinear difference system when the end-points are not necessarily usual zeros, but rather generalized zeros. Our results general...

K-component Disconjugacy for Systems of Ordinary Differential Equations

Criteria for Disfocality and Disconjugacy for Third Order Differential Equations∗

In this paper, lower bounds for the spacing (b− a) of the zeros of the solutions and the zeros of the derivative of the solutions of third order differential equations of the form y + q(t)y + p(t)y = 0 (∗) are derived under the some assumptions on p and q. The concept of disfocality is introduced for third order differential equations (*). This helps to improve the Liapunov-type inequality, whe...