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Gronwall Extension and Application to First Order Delay Differential Equations

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Cyber Security Intelligence and Analytics (CSIA 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 928))

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Abstract

In this paper, a wider range of nonlinear delay integral inequalities is studied. The right side of the inequality includes two nonlinear factors with different unknown coefficients. By establishing a new Gronwall-Bellman delay integral inequality and basic inequality, some simple results are obtained. Finally, the results of inequality study are used to simplify the equation.

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Correspondence to Zhibin Yan .

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Wang, Z., Yan, Z. (2020). Gronwall Extension and Application to First Order Delay Differential Equations. In: Xu, Z., Choo, KK., Dehghantanha, A., Parizi, R., Hammoudeh, M. (eds) Cyber Security Intelligence and Analytics. CSIA 2019. Advances in Intelligent Systems and Computing, vol 928. Springer, Cham. https://doi.org/10.1007/978-3-030-15235-2_173

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