Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales
A class of new nonlinear impulsive set dynamic equations is considered based on a new generalized derivative of set-valued functions developed on time scales in this paper. Some novel criteria are established for the existence and stability of solutions of such model. The approaches generalize and i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/610365 |
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| _version_ | 1849468230116048896 |
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| author | Shihuang Hong Jing Gao Yingzi Peng |
| author_facet | Shihuang Hong Jing Gao Yingzi Peng |
| author_sort | Shihuang Hong |
| collection | DOAJ |
| description | A class of new nonlinear impulsive set dynamic equations is considered based on a new generalized derivative of set-valued functions developed on time scales in this paper. Some novel criteria are established for the existence and stability of solutions of such model. The approaches generalize and incorporate as special cases many known results for set (or fuzzy) differential equations and difference equations when the time scale is the set of the real numbers or the integers, respectively. Finally, some examples show the applicability of our results. |
| format | Article |
| id | doaj-art-ffdad72f95aa4591ae6db5fa26a1ac4a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ffdad72f95aa4591ae6db5fa26a1ac4a2025-08-20T03:25:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/610365610365Solvability and Stability of Impulsive Set Dynamic Equations on Time ScalesShihuang Hong0Jing Gao1Yingzi Peng2Science College, Hangzhou Dianzi University, Hangzhou 310018, ChinaScience College, Hangzhou Dianzi University, Hangzhou 310018, ChinaScience College, Hangzhou Dianzi University, Hangzhou 310018, ChinaA class of new nonlinear impulsive set dynamic equations is considered based on a new generalized derivative of set-valued functions developed on time scales in this paper. Some novel criteria are established for the existence and stability of solutions of such model. The approaches generalize and incorporate as special cases many known results for set (or fuzzy) differential equations and difference equations when the time scale is the set of the real numbers or the integers, respectively. Finally, some examples show the applicability of our results.http://dx.doi.org/10.1155/2014/610365 |
| spellingShingle | Shihuang Hong Jing Gao Yingzi Peng Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales Abstract and Applied Analysis |
| title | Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales |
| title_full | Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales |
| title_fullStr | Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales |
| title_full_unstemmed | Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales |
| title_short | Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales |
| title_sort | solvability and stability of impulsive set dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2014/610365 |
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