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

Autor:	Shih-Hsiang Chang
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	singular boundary value problem method of lower and upper solutions existence and uniqueness monotone iterative technique Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 29, Iss 4 (2024)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2024.18638
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/05be401b55a340b8a6aa6b7f24ee3558 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF