论文信息 - On Liapunov-Type Inequality for Third-Order Differential Equations☆

On Liapunov-Type Inequality for Third-Order Differential Equations☆

Abstract In this paper, a Liapunov-type inequality has been derived for a class of third-order differential equations of the form, y‴ + p t y = 0, wherepis a real-valued continuous function on [0, ∞). The nature of the distance between consecutive two zeros or three zeros has been studied with the help of the inequality.

N. Parhi | S. Panigrahi | S. Panigrahi | N. Parhi

[1] Stanley B. Eliason,et al. A Lyapunov Inequality for a Certain Second Order Non‐Linear Differential Equation , 1970 .

[2] A. M. Li︠a︡punov. Problème général de la stabilité du mouvement , 1949 .

[3] B. G. Pachpatte,et al. On Lyapunov-Type Inequalities for Certain Higher Order Differential Equations , 1995 .

[4] P. Hartman. Ordinary Differential Equations , 1965 .

[5] Stanley B. Eliason,et al. Lyapunov Type Inequalities for Certain Second Order Functional Differential Equations , 1974 .