Method of Lyapunov functions for differential equations with piecewise constant delay

作者：Akhmet M U; Arugaslan D; Yilmaz E^*

来源：Journal of Computational and Applied Mathematics, 2011, 235(16): 4554-4560.

DOI：10.1016/j.cam.2010.02.043

• Nonlinear differential equations
• Piecewise constant argument of generalized type
• Method of Lyapunov functions
• Logistic equation

We address differential equations with piecewise constant argument of generalized type [5-8] and investigate their stability with the second Lyapunov method. Despite the fact that these equations include delay, stability conditions are merely given in terms of Lyapunov functions; that is, no functionals are used. Several examples, one of which considers the logistic equation, are discussed to illustrate the development of the theory. Some of the results were announced at the 14th International Congress on Computational and Applied Mathematics (ICCAM2009), Antalya, Turkey, in 2009.

• 出版日期2011-6-15