Regions of existence and uniqueness for singular two-point boundary value problems

A monotone iterative technique with lower and upper solutions is presented to identify the regions of existence for the solutions of singular two-point boundary value problems without requiring the monotonicity conditions on f(x,y). Under an additional condition on f(x,y), uniqueness of the solution...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 29; no. 4; pp. 753 - 766
Main Author Chang, Shih-Hsiang
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 29.11.2024
Subjects
Agarwal, Ravi P
Boundary value problems
existence and uniqueness
Iterative methods
method of lower and upper solutions
monotone iterative technique
Partial differential equations
singular boundary value problem
Uniqueness
method of lower and upper solutions
singular boundary value problem
existence and uniqueness
monotone iterative technique
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Summary:A monotone iterative technique with lower and upper solutions is presented to identify the regions of existence for the solutions of singular two-point boundary value problems without requiring the monotonicity conditions on f(x,y). Under an additional condition on f(x,y), uniqueness of the solution is also established. These existence and uniqueness results are constructive and complement the existing results. Four examples including some engineering problems are given to illustrate the applicability of the proposed approach.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2024.18638