A. G. Lomtatidze and S. Mukhigulashvili have recently established existence of solutions for some two-point boundary value problems for a second order functional differential equation u″ = F(u) when the continuous operator F : C′([a, b]; R) → L(]a, b[; R) satisfied the condition, sup{lcub}|F(v)(·)| : ||v||C′ ≤ r{rcub} ∈ L(]a, b[; R +) for r > 0. In this dissertation we extend this result to a two-point boundary value problem for a higher functional differential equation, giving the existence of solutions for third and n th order functional differential equations.
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机译：AG Lomtatidze和S. Mukhigulashvili最近建立了二阶泛函微分方程 u '' = F 的某些两点边值问题的解决方案。连续运算符 F ： C '（[ a，b < / italic>]; R ）→ L （] a，b [; R ）满足条件， sup {lcub} | F （ v ）（·）| ：|| v || C ' ≤ r {rcub}∈< italic> L （] a，b [; R + ）表示 r th 阶泛函微分方程的解。 。
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