Some Difference Inequalities for Iterated Sums with Applications
The main objective of this paper is to establish two new nonlinear sum-difference inequalities with multiple iterated sums. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. These new inequalit...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/804152 |
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| Summary: | The main objective of this paper is to establish two new nonlinear sum-difference
inequalities with multiple iterated sums. Under several practical assumptions, the inequalities
are solved through rigorous analysis, and explicit bounds for the unknown
functions are given clearly. These new inequalities can be used as handy tools in the
study of the estimation of solutions of difference equations. |
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| ISSN: | 1085-3375 1687-0409 |