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On some generalizations of the Gronwall-Bellman integral inequality for scalar functions of many variables

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Abstract

The paper presents generalizations of some linear integral inequalities of the Gronwall-Bellman type for functions ofn variables. Integration in the inequalities is performed on sets of a general type and the proofs are carried out without differentiating with respect to variables.

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Authors and Affiliations

  1. Department of Mathematics, University of Plovdiv «Paissaii Hilendarski», Plovdiv, Bulgaria

    P. S. Simeonov & D. D. Bainov

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  1. P. S. Simeonov
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  2. D. D. Bainov
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Simeonov, P.S., Bainov, D.D. On some generalizations of the Gronwall-Bellman integral inequality for scalar functions of many variables. Rend. Circ. Mat. Palermo 32, 27–38 (1983). https://doi.org/10.1007/BF02851100

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  • DOI: https://doi.org/10.1007/BF02851100

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