Geodesic
On the Stieltjes Procedure for Closing Gaps in Time Scales
Matematičeskie zametki, Tome 86 (2009) no. 5, pp. 733-735

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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.
Mots-clés : dynamic equations on time scales
Keywords: discontinuous argument, Stieltjes integration, function of bounded variation. 
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     author = {Yu. V. Pokornyi and Zh. I. Bakhtina},
     title = {On the {Stieltjes} {Procedure} for {Closing} {Gaps} in {Time} {Scales}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {733--735},
     publisher = {mathdoc},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_5_a9/}
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Yu. V. Pokornyi; Zh. I. Bakhtina. On the Stieltjes Procedure for Closing Gaps in Time Scales. Matematičeskie zametki, Tome 86 (2009) no. 5, pp. 733-735. http://geodesic.mathdoc.fr/item/MZM_2009_86_5_a9/