Geodesic
On the number of solutions of nonlinearity boundary value problems with a~Stieltjes integral
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 4, pp. 13-17.

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In this paper we obtain sufficient conditions for the existence of multiple solutions for nonlinear boundary value problem with a Stieltjes integral. 
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M. B. Davidova; S. A. Shabrov. On the number of solutions of nonlinearity boundary value problems with a~Stieltjes integral. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 4, pp. 13-17. http://geodesic.mathdoc.fr/item/ISU_2011_11_4_a1/

[1] Pokornyi Yu. V., Penkin O. M., Borovskikh A. V., Pryadiev V. L., Lazarev K. P., Shabrov S. A., Differentsialnye uravneniya na geometricheskikh grafakh, M., 2004, 272 pp.

[2] Pokornyi Yu. V., Zvereva M. B., Shabrov S. A., “Ostsillyatsionnaya teoriya Shturma–Liuvillya dlya impulsnykh zadach”, Uspekhi matematicheskikh nauk, 63:1(379) (2008), 111–154 | DOI | MR | Zbl

[3] Pokornyi Yu. V., Shabrov S. A., “Toward a Sturm–Liouville theory for an equation with generalized coefficients”, J. of Math. Sciences, 119:6 (2004), 769–787 | DOI | MR | Zbl

[4] Pokornyi Yu. V., Bakhtina Zh. I., Zvereva M. B., Shabrov S. A., Ostsillyatsionnyi metod Shturma v spektralnykh zadachakh, M., 2009, 192 pp.

[5] Myshkis A. D., “O resheniyakh lineinogo odnorodnogo dvuchlennogo differentsialnogo neravenstva vtorogo poryadka s obobschënnym koeffitsientom”, Differentsialnye uravneniya, 32:5 (1996), 615–619 | MR | Zbl

[6] Krasnoselskii M. A., Zabreiko P. P., Geometricheskie metody nelineinogo analiza, M., 1975, 512 pp. | MR