Initial value problems for functional-differential equations with infinite delay in Banach spaces. (English) Zbl 0992.34062
By using monotonicity techniques, the authors prove an existence result on functional-differential equations of the form \(u'(t)=f(t,u(t),u_t)\), \(u_{\sigma}(t)=\varphi(t)\), \(\sigma\leq t\leq a\), in a partially ordered Banach space.
Reviewer: Ioan Vrabie (Iaşi)
MSC:
34K30 | Functional-differential equations in abstract spaces |
47H05 | Monotone operators and generalizations |