Asymptotic stability of the complex dynamic equation u(Delta) - z.u+w.u(sigma)=0

作者：Karpuz Basak^*

来源：Journal of Mathematical Analysis and Applications, 2015, 421(1): 925-937.

DOI：10.1016/j.jmaa.2014.07.052

• Asymptotic stability
• Dynamic equation
• Complex exponential function

In this paper, we provide sharp conditions for the complex time scale exponential function tend to zero asymptotically. More precisely, we study the asymptotic stability of the unique complex solution u = e(z)circle minus(mu)w(.,s) of the initial value problem
{u(Delta) - z center dot u + w center dot u(sigma) = 0 for t is an element of T u(s) = 1,
where T is a time scale with sup T = infinity, s is an element of T. and z, w are complex constants. We also present an illustrative example to mention the sharpness of the main result.

• 出版日期2015-1-1