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A second-order nonlinear problem with two-point and integral boundary conditions
Authors:S. A. Brykalov
Affiliation:(1) Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, ul. Kovalevskoi 16, 620066 Ekaterinburg, Russia
Abstract: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 [6].
Keywords:34B15  34K10
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