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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics

Izv. Saratov Univ. Math. Mech. Inform., 2013, Volume 13, Issue 2(1), Pages 3–8 (Mi isu389)

On necessary conditions for a minimum of a quadratic functional with a Stieltjes integral and zero coefficient of the highest derivative on the part of the interval
T. A. Ivannikova, E. V. Timashova, S. A. Shabrov

References

1. Pokornyi Yu. V., Bakhtina Zh. I., Zvereva M. B., Shabrov S. A., Sturm oscillation method in spectral problems, Fizmatlit, Moscow, 2009, 192 pp.  zmath
2. Shabrov S. A., “On a necessary condition of at least one quadratic functional with an integral Stieltjes”, Izv. Sarat. Univ. N. S. Ser. Math. Mech. Inform., 12:1 (2012), 52–55  mathnet
3. Shabrov S. A., “About $\mu$-regularization of function of finite variation”, Sb. statei aspirantov i studentov matematicheskogo fakul'teta VGU, 1999, 166–169, Voronezh  zmath
4. Pokornyi Yu. V., “The Stieltjes integral and derivatives with respect to the measure in ordinary differential equations”, Dokl. Math., 59:1 (1999), 34–37  mathnet  mathscinet  zmath


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