On some new N-independent-variable discrete inequalities of the Gronwall type
In this paper we shall establish some new discrete inequalities of the Gronwall type in N-independent variables. They will have many applications for finite difference equations involving several independent variables and for numerical analysis. Their consequence for the case of N=3, generalizes all...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000613 |
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| _version_ | 1832555962544685056 |
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| author | En Hao Yang |
| author_facet | En Hao Yang |
| author_sort | En Hao Yang |
| collection | DOAJ |
| description | In this paper we shall establish some new discrete inequalities of the Gronwall type in N-independent variables. They will have many applications for finite difference equations involving several independent variables and for numerical analysis. Their consequence for the case of N=3, generalizes all of the known theorems obtained by Pachpatte and Singare in [1]. An example, to which those results established in [1] are inapplicable, is given here to convey the usefulness of the results obtained. |
| format | Article |
| id | doaj-art-e0c32262cac24844bd8f3ac25e4ac4c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e0c32262cac24844bd8f3ac25e4ac4c72025-02-03T05:46:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019348549510.1155/S0161171286000613On some new N-independent-variable discrete inequalities of the Gronwall typeEn Hao Yang0Department of Mathematics, Jinan University, Guang Zhou, ChinaIn this paper we shall establish some new discrete inequalities of the Gronwall type in N-independent variables. They will have many applications for finite difference equations involving several independent variables and for numerical analysis. Their consequence for the case of N=3, generalizes all of the known theorems obtained by Pachpatte and Singare in [1]. An example, to which those results established in [1] are inapplicable, is given here to convey the usefulness of the results obtained.http://dx.doi.org/10.1155/S0161171286000613inequalities of the Gronwall typedifference equations. |
| spellingShingle | En Hao Yang On some new N-independent-variable discrete inequalities of the Gronwall type International Journal of Mathematics and Mathematical Sciences inequalities of the Gronwall type difference equations. |
| title | On some new N-independent-variable discrete inequalities of the Gronwall type |
| title_full | On some new N-independent-variable discrete inequalities of the Gronwall type |
| title_fullStr | On some new N-independent-variable discrete inequalities of the Gronwall type |
| title_full_unstemmed | On some new N-independent-variable discrete inequalities of the Gronwall type |
| title_short | On some new N-independent-variable discrete inequalities of the Gronwall type |
| title_sort | on some new n independent variable discrete inequalities of the gronwall type |
| topic | inequalities of the Gronwall type difference equations. |
| url | http://dx.doi.org/10.1155/S0161171286000613 |
| work_keys_str_mv | AT enhaoyang onsomenewnindependentvariablediscreteinequalitiesofthegronwalltype |