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Article: Two-Point Boundary Value Problems for First Order Causal Difference Equations
| Title | Two-Point Boundary Value Problems for First Order Causal Difference Equations |
|---|---|
| Authors | |
| Keywords | Two-point boundary value problem causal difference equations monotone iterative technique extremal solutions |
| Issue Date | 2020 |
| Publisher | Springer (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? |
| Abstract | This 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 Identifier | http://hdl.handle.net/10722/299259 |
| ISSN | 2021 Impact Factor: 0.559 2020 SCImago Journal Rankings: 0.277 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wang, WL | - |
| dc.contributor.author | Tian, JF | - |
| dc.contributor.author | Cheung, WS | - |
| dc.date.accessioned | 2021-05-10T06:59:16Z | - |
| dc.date.available | 2021-05-10T06:59:16Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | Indian Journal of Pure and Applied Mathematics, 2020, v. 51 n. 4, p. 1399-1416 | - |
| dc.identifier.issn | 0019-5588 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/299259 | - |
| dc.description.abstract | This 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.language | eng | - |
| dc.publisher | Springer (India) Private Ltd. The Journal's web site is located at http://www.springer.com/mathematics/journal/13226 | - |
| dc.relation.ispartof | Indian Journal of Pure and Applied Mathematics | - |
| dc.rights | Accepted 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.subject | Two-point boundary value problem | - |
| dc.subject | causal difference equations | - |
| dc.subject | monotone iterative technique | - |
| dc.subject | extremal solutions | - |
| dc.title | Two-Point Boundary Value Problems for First Order Causal Difference Equations | - |
| dc.type | Article | - |
| dc.identifier.email | Cheung, WS: wscheung@hku.hk | - |
| dc.identifier.authority | Cheung, WS=rp00678 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s13226-020-0473-x | - |
| dc.identifier.scopus | eid_2-s2.0-85098702601 | - |
| dc.identifier.hkuros | 322413 | - |
| dc.identifier.volume | 51 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | 1399 | - |
| dc.identifier.epage | 1416 | - |
| dc.identifier.isi | WOS:000605209400009 | - |
| dc.publisher.place | India | - |