A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables
Integral inequalities, which provide explicit bounds on unknown functions, are used to serve as handy tools in the study of the qualitative properties of solutions to differential and integral equations. By utilizing some analysis techniques, such as amplification method, differential, and integrati...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/5129051 |
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| _version_ | 1832552592639524864 |
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| author | Ying Jiang Guojing Xing Chenghui Zhang |
| author_facet | Ying Jiang Guojing Xing Chenghui Zhang |
| author_sort | Ying Jiang |
| collection | DOAJ |
| description | Integral inequalities, which provide explicit bounds on unknown functions, are used to serve as handy tools in the study of the qualitative properties of solutions to differential and integral equations. By utilizing some analysis techniques, such as amplification method, differential, and integration, several new types of linear and nonlinear retarded integral inequalities in two independent variables are provided. These results generalize and complement previous ones. An illustrative example is given to support the obtained results. The study of the numerical example shows that the new results presented in this paper work well in the analysis of retarded integral inequalities in two independent variables. |
| format | Article |
| id | doaj-art-c5cd3ecd9d244480be20d2679ae20b2c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c5cd3ecd9d244480be20d2679ae20b2c2025-02-03T05:58:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/51290515129051A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent VariablesYing Jiang0Guojing Xing1Chenghui Zhang2School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaIntegral inequalities, which provide explicit bounds on unknown functions, are used to serve as handy tools in the study of the qualitative properties of solutions to differential and integral equations. By utilizing some analysis techniques, such as amplification method, differential, and integration, several new types of linear and nonlinear retarded integral inequalities in two independent variables are provided. These results generalize and complement previous ones. An illustrative example is given to support the obtained results. The study of the numerical example shows that the new results presented in this paper work well in the analysis of retarded integral inequalities in two independent variables.http://dx.doi.org/10.1155/2017/5129051 |
| spellingShingle | Ying Jiang Guojing Xing Chenghui Zhang A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables Discrete Dynamics in Nature and Society |
| title | A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables |
| title_full | A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables |
| title_fullStr | A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables |
| title_full_unstemmed | A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables |
| title_short | A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables |
| title_sort | generalization of linear and nonlinear retarded integral inequalities in two independent variables |
| url | http://dx.doi.org/10.1155/2017/5129051 |
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