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A second-order nonlinear problem with two-point and integral boundary conditions
Author(s) -
S. A. Brykalov
Publication year - 1994
Publication title -
georgian mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.277
H-Index - 27
eISSN - 1572-9176
pISSN - 1072-947X
DOI - 10.1007/bf02254673
Subject(s) - mathematics , nonlinear system , order (exchange) , mathematical analysis , point (geometry) , boundary (topology) , boundary value problem , geometry , physics , finance , quantum mechanics , economics
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].

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