Půža, B.; Rabbimov, A. On a weighted boundary value problem for a system of singular functional-differential equations. (English) Zbl 0984.34057 Mem. Differ. Equ. Math. Phys. 21, 125-130 (2000). A system of functional-differential equations \[ u''(t)= f(u)(t) \tag{1} \] with the boundary conditions \[ \lim_{t\to a}u(t)= 0,\quad \lim_{t\to b} u(t)=0, \tag{2} \]\[ \sup\biggl\{(t -\alpha)^{\alpha-1} (b-t)^{\beta-1}\bigl \|u(t)\bigr\|+ (t-a)^\alpha (b-t)^\beta\bigl \|u'(t)\bigr \|:a<t< b \biggr\}< +\infty, \] is considered, with \(0\leq\alpha\), \(\beta\leq 1\). Sufficient conditions for the solvability of problem (1)–(2) are established. Reviewer: R.G.Koplatadze (Tbilisi) Cited in 3 Documents MSC: 34K10 Boundary value problems for functional-differential equations Keywords:weighted boundary value problem; singular functional-differential equations PDFBibTeX XMLCite \textit{B. Půža} and \textit{A. Rabbimov}, Mem. Differ. Equ. Math. Phys. 21, 125--130 (2000; Zbl 0984.34057) Full Text: EuDML