Geodesic
The source function of the chain of rods with elastic supports
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 49-61 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a boundary value problem for a fourth-order equation modeling elastic deformations of a rod system with elastic supports. The Green's function of the boundary value problem with elastic supports expressed through the Green's function of the boundary value problem without supports. 
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R. Ch. Kulaev. The source function of the chain of rods with elastic supports. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 49-61. http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a5/

[1] Pokornyi Yu. V., Penkin O. M., Pryadiev V. L., Borovskikh A. V., Lazarev K. P., Shabrov S. A., Differentsialnye uravneniya na geometricheskikh grafakh, Fizmatlit, M., 2007, 272 pp. | MR

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

[3] Pokornyi Yu. V., “O znakoregulyarnykh funktsiyakh Grina nekotorykh neklassicheskikh zadach”, Uspekhi mat. nauk, 36:4 (1981), 205–206

[4] Borovskikh A. V., Pokornyi Yu. V., “Sistemy Chebysheva–Khaara v teorii razryvnykh yader Kelloga”, Uspekhi mat. nauk, 49:3 (1994), 3–42 | MR | Zbl

[5] Borovskikh A. V., Lazarev K. P., Pokornyi Yu. V., “Ob ostsillyatsionnykh spektralnykh svoistvakh razryvnykh kraevykh zadach”, Dokl. RAN, 335:4 (1994), 409–412 | MR | Zbl

[6] Borovskikh A. V., Lazarev K. P., Pokornyi Yu. V., “O yadrakh Kelloga v razryvnykh zadachakh”, Optimalnoe upravlenie i differentsialnye uravneniya, Sb. statei. K semidesyatiletiyu so dnya rozhdeniya akademika E. F. Mischenko, Tr. MIAN, 211, 1995, 102–120 | MR | Zbl

[7] Pokornyi Yu. V., Lazarev K. P., “Nekotorye ostsillyatsionnye teoremy dlya mnogotochechnykh zadach”, Differents. uravneniya, 23:4 (1987), 658–670 | MR | Zbl

[8] Borovskikh A. V., “Usloviya znakoregulyarnosti razryvnykh kraevykh zadach”, Mat. zametki, 74:5 (2003), 643–655 | DOI | MR | Zbl

[9] Levin A. Yu., Stepanov G. D., “Odnomernye kraevye zadachi s operatorami, ne ponizhayuschimi chisla peremen znaka, II”, Sib. mat. zhurn., 17:4 (1976), 813–830 | MR | Zbl

[10] Teptin A. L., “K voprosu ob ostsillyatsionnosti spektra mnogotochechnoi kraevoi zadachi”, Izv. vuzov. Matematika, 1999, no. 4(443), 44–53 | MR | Zbl

[11] Pokornyi Yu. V., “O nulyakh funktsii Grina zadachi Valle Pussena”, Mat. sb., 199:6 (2008), 105–136 | DOI | MR | Zbl

[12] Derr V. Ya., “K obobschennoi zadache Valle Pussena”, Differents. uravneniya, 23:11 (1987), 1861–1872 | MR | Zbl

[13] Kulaev R. Ch., “O znakoregulyarnosti funktsii Grina dlya uravneniya chetvertogo poryadka”, Dif. uravneniya, 49:6 (2013), 813–814

[14] Lankaster P., Teoriya matrits, Nauka, M., 1978, 280 pp. | MR

[15] Gantmakher F. R., Teoriya matrits, Nauka, M., 1966, 576 pp. | MR

[16] Stepanov G. D., “Effektivnye kriterii znakoregulyarnosti i ostsillyatsionnosti funktsii Grina dvukhtochechnykh zadach”, Mat. sb., 188:11 (1997), 121–159 | DOI | MR | Zbl

[17] Bratus A. S., Seiranyan A. P., “Dostatochnye usloviya ekstremuma v zadachakh optimizatsii sobstvennykh znachenii”, Prikl. mat. i mekh., 1984, no. 4, 657–667 | MR

[18] Banichuk N. V., Vvedenie v optimizatsiyu konstruktsii, Nauka, M., 1986, 304 pp. | MR

[19] Masur E. F., “Optimal structural design under multiple eigenvalue constraints”, Int. J. Solids Struct., 20:3 (1984), 211–231 | DOI | MR | Zbl