Gupta, Chaitan P.; Ntouyas, S. K.; Tsamatos, P. Ch. Existence results for \(m\)-point boundary value problems. (English) Zbl 0877.34019 Differ. Equ. Dyn. Syst. 2, No. 4, 289-298 (1994). The paper deals with existence and uniqueness of solutions of a boundary value problem of the form \[ x''(t)= f(t,x(t),x'(t))+ e(t),\quad 0<t<1,\quad x(0)=0\quad\text{and }x'(1)= \sum^{m-2}_{i=1} a_ix'(\xi_i), \] where \(0<\xi_i<\cdots<\xi_{m- 2}<1\), the coefficients \(a_i\) have the same sign, \(\sum a_i=1\). Some existence results are obtained by using the Leray-Schauder continuation theorem. Reviewer: G.Karakostas (Ioannina) Cited in 10 Documents MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34G20 Nonlinear differential equations in abstract spaces 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:existence and uniqueness of solutions; boundary value problem PDFBibTeX XMLCite \textit{C. P. Gupta} et al., Differ. Equ. Dyn. Syst. 2, No. 4, 289--298 (1994; Zbl 0877.34019)