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A second-order nonlinear problem with two-point and integral boundary conditions. (English) Zbl 0798.34021
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)].
MSC:
34B15Nonlinear boundary value problems for ODE
34K10Boundary value problems for functional-differential equations