Global stability for separable nonlinear delay differential equations

✍ Scribed by Y. Muroya

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 671 KB
• Volume: 49
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2004.02.013

✦ Synopsis

Consider the following separable nonlinear delay dlfferentml equation m dy(t) __ E a,(t)g,(y(%(t))), t > to, dt y(t) = ¢(t), t <_ to,

where we assume that, there is a strictly monotone increasing function f(x) on ( -o c , +oe) such that g,(x)

In this paper, to the above separable nonlinear delay differential equation, we establish conditions of global asymptotic stability for the zero solution In particular, for a special wide class of f(x) which contains a case of f(x) = e x -1, we give more explicit conditions. Applying these, we offer conditions of global asymptotic stability for solutions of nonautonomous logistic equations with delays (~)