Brykalov, S. A. A second-order nonlinear problem with two-point and integral boundary conditions. (English) Zbl 0798.34021 Proc. Georgian Acad. Sci., Math. 1, No. 3, 273-279 (1993). Summary: The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence result for a problem with functional boundary conditions obtained by the author in [Differ. Equations 27, No. 12, 1415-1420 (1991); translation from Differ. Uravn. 27, No. 12, 2027-2033 (1991; Zbl 0743.34070)]. Cited in 5 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34K10 Boundary value problems for functional-differential equations Keywords:existence; nonuniqueness; monotone solutions; nonlinear ordinary differential equation; nonlinear boundary conditions; functional boundary conditions Citations:Zbl 0788.34070; Zbl 0743.34070 PDFBibTeX XMLCite \textit{S. A. Brykalov}, Proc. Georgian Acad. Sci., Math. 1, No. 3, 273--279 (1993; Zbl 0798.34021) Full Text: EuDML