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A Note on Gronwall’s Inequality on Time Scales

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  • Xueru Lin

Abstract

This paper gives a new version of Gronwall’s inequality on time scales. The method used in the proof is much different from that in the literature. Finally, an application is presented to show the feasibility of the obtained Gronwall’s inequality.

Suggested Citation

  • Xueru Lin, 2014. "A Note on Gronwall’s Inequality on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:623726
    DOI: 10.1155/2014/623726
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    References listed on IDEAS

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    1. Yongfei Gao & Xiaoqing Yuan & Yonghui Xia & P. J. Y. Wong, 2014. "Linearization of Impulsive Differential Equations with Ordinary Dichotomy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Yong-Hui Xia & Xiaoqing Yuan & Kit Ian Kou & Patricia J. Y. Wong, 2014. "Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Yong-Hui Xia & Xiaoqing Yuan & Kit Ian Kou & Patricia J. Y. Wong, 2014. "Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, May.
    4. Yongfei Gao & Xiaoqing Yuan & Yonghui Xia & P. J. Y. Wong, 2014. "Linearization of Impulsive Differential Equations with Ordinary Dichotomy," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, March.
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