Stability and bounded of solutions to non-autonomous delay differential equations of third order

作者：Tunc Cemil^*

来源：Nonlinear Dynamics, 2010, 62(4): 945-953.

DOI：10.1007/s11071-010-9776-5

• Boundedness
• Stability
• Non-autonomous
• Differential equation
• Third order
• Delay

In this paper, we obtain some sufficient conditions to guarantee the uniform asymptotic stability of zero solution and bounded of all solutions to non-autonomous delay differential equation of third order
(sic)(t) + a(t)phi(over dot (x)(sic)(t) + b(t)psi(over dot (t))
+ c(t)h(x(t-r))
= p(t, x(t), x(t-r), over dot (x)(t), over dot (x)(t - r), (sic)(t)),
when p(t, x(t), x(t - r), x(t - r), over dot (x)(t), over dot (x)(t - r), (sic)(t)) = 0 and p(t, x(t), x(t-r), over dot (x)(t), over dot (x)(t - r), (sic)(t)) not equal 0 respectively. By using the Liapunov functional approach, we prove two new results on the subject.

• 出版日期2010-12