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Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations

Published online by Cambridge University Press:  20 November 2018

Tadeusz Jankowski
Tadeusz Jankowski*
Affiliation:
Department of Differential Equations, Gdansk University of Technology, 80–952 Gdańsk, Poland e-mail: tjank@mifgate.mif.pg.gda.pl
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Abstract

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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.

Keywords

34A4534K10second order differential equationsdeviated argumentsnonlinear boundary conditionsextremal solutionsquasi-solutionsunique solution
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 3 , 01 September 2010 , pp. 475 - 490
Copyright
Copyright © Canadian Mathematical Society 2010

References

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