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Some nonlinear dynamic inequalities on time scales

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Abstract

The aim of this paper is to investigate some nonlinear dynamic inequalities on time scales, which provide explicit bounds on unknown functions. The inequalities given here unify and extend some inequalities in (B G Pachpatte, On some new inequalities related to a certain inequality arising in the theory of differential equation, J. Math. Anal. Appl. 251 (2000) 736–751).

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Authors and Affiliations

  1. Department of Mathematics, Binzhou University, Binzhou, Shandong, 256603, People’s Republic of China

    Wei Nian Li & Weihong Sheng

  2. Department of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, People’s Republic of China

    Wei Nian Li

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  1. Wei Nian Li
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  2. Weihong Sheng
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Correspondence to Wei Nian Li.

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Li, W.N., Sheng, W. Some nonlinear dynamic inequalities on time scales. Proc Math Sci 117, 545–554 (2007). https://doi.org/10.1007/s12044-007-0044-7

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  • DOI: https://doi.org/10.1007/s12044-007-0044-7

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