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Matematicheskie Zametki, 2009, Volume 86, Issue 5, Pages 733–735
DOI: https://doi.org/10.4213/mzm8515 (Mi mzm8515) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Stieltjes Procedure for Closing Gaps in Time Scales

Yu. V. Pokornyi, Zh. I. Bakhtina

Voronezh State University
Full-text PDF (383 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8515
Abstract: In the present paper, we show that the theory of dynamic equations on time scales (with an argument with “holes,” i.e., a discontinuous argument) can significantly be simplified and generalized by using Stieltjes integration, which is inverse to the differentiation with respect to Riesz measures.
Keywords: dynamic equations on time scales, discontinuous argument, Stieltjes integration, function of bounded variation.
Received: 06.03.2009
English version:
Mathematical Notes, 2009, Volume 86, Issue 5, Pages 690–692
DOI: https://doi.org/10.1134/S000143460911011X
Bibliographic databases:
UDC: 517.927
Language: Russian
Citation: Yu. V. Pokornyi, Zh. I. Bakhtina, “On the Stieltjes Procedure for Closing Gaps in Time Scales”, Mat. Zametki, 86:5 (2009), 733–735; Math. Notes, 86:5 (2009), 690–692
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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