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Article: Two-Point Boundary Value Problems for First Order Causal Difference Equations

TitleTwo-Point Boundary Value Problems for First Order Causal Difference Equations
Authors
KeywordsTwo-point boundary value problem
causal difference equations
monotone iterative technique
extremal solutions
Issue Date2020
PublisherSpringer (India) Private Ltd. The Journal's web site is located at http://www.springer.com/mathematics/journal/13226
Citation
Indian Journal of Pure and Applied Mathematics, 2020, v. 51 n. 4, p. 1399-1416 How to Cite?
AbstractThis paper focuses on two-point boundary value problem for first order causal difference equations. We will start with two new comparison theorems. Then, by utilizing these theorems and fixed point theorems, we obtain the existence of solutions for the corresponding linear problem. By applying monotone iterative technique, sufficient conditions for the existence of extremal solutions are also established. The results of this paper extend some existing results in the literature. Finally, two examples to show the usefulness of our results are exhibited.
Persistent Identifierhttp://hdl.handle.net/10722/299259
ISSN
2023 Impact Factor: 0.4
2023 SCImago Journal Rankings: 0.321
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWang, WL-
dc.contributor.authorTian, JF-
dc.contributor.authorCheung, WS-
dc.date.accessioned2021-05-10T06:59:16Z-
dc.date.available2021-05-10T06:59:16Z-
dc.date.issued2020-
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2020, v. 51 n. 4, p. 1399-1416-
dc.identifier.issn0019-5588-
dc.identifier.urihttp://hdl.handle.net/10722/299259-
dc.description.abstractThis paper focuses on two-point boundary value problem for first order causal difference equations. We will start with two new comparison theorems. Then, by utilizing these theorems and fixed point theorems, we obtain the existence of solutions for the corresponding linear problem. By applying monotone iterative technique, sufficient conditions for the existence of extremal solutions are also established. The results of this paper extend some existing results in the literature. Finally, two examples to show the usefulness of our results are exhibited.-
dc.languageeng-
dc.publisherSpringer (India) Private Ltd. The Journal's web site is located at http://www.springer.com/mathematics/journal/13226-
dc.relation.ispartofIndian Journal of Pure and Applied Mathematics-
dc.rightsAccepted Manuscript (AAM) This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: https://doi.org/[insert DOI]-
dc.subjectTwo-point boundary value problem-
dc.subjectcausal difference equations-
dc.subjectmonotone iterative technique-
dc.subjectextremal solutions-
dc.titleTwo-Point Boundary Value Problems for First Order Causal Difference Equations-
dc.typeArticle-
dc.identifier.emailCheung, WS: wscheung@hku.hk-
dc.identifier.authorityCheung, WS=rp00678-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s13226-020-0473-x-
dc.identifier.scopuseid_2-s2.0-85098702601-
dc.identifier.hkuros322413-
dc.identifier.volume51-
dc.identifier.issue4-
dc.identifier.spage1399-
dc.identifier.epage1416-
dc.identifier.isiWOS:000605209400009-
dc.publisher.placeIndia-

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