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Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we shall discuss nonlinear multipoint boundary value problems for second order differential equations when deviating arguments depend on the unknown solution. Sufficient conditions under which such problems have extremal and quasi-solutions are given. The problem of when a unique solution exists is also investigated. To obtain existence results, a monotone iterative technique is used. Two examples are added to verify theoretical results.
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- Copyright © Canadian Mathematical Society 2010