On construction of converging sequences to solutions of boundary value problems

We consider the Dirichlet problem x″ = f(t,x), x(a) = A, x(b) = B under the assumption that there exist the upper and lower functions. We distinguish between two types of solutions, the first one, which can be approximated by monotone sequences of solutions (the so called Jackson—Schrader's sol...

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Bibliographic Details
Main Author: Maria Dobkevich
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2010-04-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5997