Asymptotic behavior of the solutions of a class of functional differential equations. (Chinese. English summary) Zbl 0638.34056
We discuss the problem presented by S. R. Bernfeld and J. R. Haddock in the international conference “Nonlinear systems and applications” (1976). We investigate the existence, uniqueness, boundedness and asymptotic behavior of the solutions of functional differential equations \(dx/dt=f(x)+G(x^ J_ t),\) where \(x^ T_ t(\theta)=x_ t(\theta)\), \(\theta\in [-r,-s]\), \(s>0\).
MSC:
34K25 | Asymptotic theory of functional-differential equations |
34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
34C11 | Growth and boundedness of solutions to ordinary differential equations |