Generalization of some retarded integral inequalities with power in two independent variables and applications
In this work, some new kinds of nonlinear power integral inequalities in two-dimensional cases are introduced. With advanced analytical mathematical methods, many estimations are obtained in order to generalize to higher order, well known results in the literature for $ p = 1 $ and $ p\in(0, 1] $. A...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025191 |
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| Summary: | In this work, some new kinds of nonlinear power integral inequalities in two-dimensional cases are introduced. With advanced analytical mathematical methods, many estimations are obtained in order to generalize to higher order, well known results in the literature for $ p = 1 $ and $ p\in(0, 1] $. As an example, we apply these results to determine the boundedness of solutions of nonlinear bidimensional Volterra type integral equations for $ p > 1 $. |
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| ISSN: | 2473-6988 |