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Theorem on integral inequalities with functional argument

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Abstract

A theorem on the integral Volterra-Fredholm inequalities with a functional limit is proved. By using this theorem, the theorem on integral inequalities with retarded argument is established.

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References

  1. A. N. Filatov and L. V. Sharov,Integral Inequalities and the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1976).

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  2. Ya. D. Mamedov, S. Ashirov, and S. Atdaev,Theorems on Inequalities [in Russian], Ilym, Ashkhabad (1980).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 136–139, January, 1993.

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Musaev, V.M. Theorem on integral inequalities with functional argument. Ukr Math J 45, 151–155 (1993). https://doi.org/10.1007/BF01062049

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  • DOI: https://doi.org/10.1007/BF01062049

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