×

zbMATH — the first resource for mathematics

Existence of solutions for functional antiperiodic boundary value problems. (English) Zbl 0981.34056
The author discusses antiperiodic boundary value problems for functional-differential equations of the type \[ x'(t)=f(t,x_t), \;t\in [0.T], \;x(s)=x(0)=-x(T)\;\text{for} s\in [-\tau,0](\text{with a given} \tau >0)\tag{1} \] where \(x_t(s)=x(t+s)\) for \(s\in [-\tau,0]\).
Assuming suitable conditions the author proves theorems on the existence and uniqueness of solutions to such problems and on approximations of solutions by monotone sequences of succesive approximations. The lower and upper solutions method is applied.
Reviewer: A.Pelczar (Krakow)

MSC:
34K10 Boundary value problems for functional-differential equations
PDF BibTeX XML Cite
Full Text: EuDML