@article{IVM_2001_6_a1,
author = {E. I. Bravyi},
title = {On necessary conditions for the negativity of the {Green} function for a~two-point problem},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {12--22},
year = {2001},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2001_6_a1/}
}
E. I. Bravyi. On necessary conditions for the negativity of the Green function for a two-point problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2001), pp. 12-22. http://geodesic.mathdoc.fr/item/IVM_2001_6_a1/
[1] Levin A. Yu., “Neostsillyatsiya reshenii uravneniya $x^{(n)}+p_1(t)x^{(n-1)}+\dotsb+p_n(t)=0$”, Uspekhi matem. nauk, 24:2 (1969), 43–96 | MR
[2] Kiguradze I. T., Shekhter B. L., “Singulyarnye kraevye zadachi dlya obyknovennogo differentsialnogo uravneniya vtorogo poryadka”, Itogi nauki i tekhn. Sovremen. probl. matem., 30, VINITI, M., 1987, 105–201 | MR
[3] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970, 720 pp. | MR
[4] Azbelev N. V., Domoshnitskii A. I., “O differentsialnom neravenstve Valle–Pussena”, Differents. uravneniya, 22:12 (1986), 2041–2045 | MR | Zbl
[5] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991, 280 pp. | MR | Zbl
[6] Labovskii S. M., “O polozhitelnykh resheniyakh dvukhtochechnoi kraevoi zadachi dlya lineinogo singulyarnogo funktsionalno-differentsialnogo uravneniya”, Differents. uravneniya, 24:10 (1988), 1695–1704 | MR
[7] Kobyakov I. I., “Usloviya otritsatelnosti funktsii Grina dvukhtochechnoi kraevoi zadachi s otklonyayuschimsya argumentom”, Differents. uravneniya, 8:3 (1972), 443–452
[8] Plaksina V. P., Usloviya znakopostoyanstva funktsii Grina odnoi dvukhtochechnoi zadachi dlya funktsionalno-differentsialnogo uravneniya $n$-go poryadka, Dep. v VINITI 16.05.89, No 3280-V89, Perm, 1989, 43 pp.
[9] Likhacheva N. N., “Teorema Valle–Pussena dlya odnogo klassa funktsionalno-differentsialnykh uravnenii”, Izv. vuzov. Matematika, 1997, no. 5, 30–37 | MR | Zbl
[10] Azbelev N. V., Domoshnitskii A. I., “K voprosu o lineinykh differentsialnykh neravenstvakh, I”, Differents. uravneniya, 27:3 (1991), 376–384 | MR | Zbl
[11] Azbelev N. V., Domoshnitskii A. I., “K voprosu o lineinykh differentsialnykh neravenstvakh, II”, Differents. uravneniya, 27:6 (1991), 923–931 | MR | Zbl
[12] Azbelev N. V., Alvesh M., Bravyi E. I., “O singulyarnykh kraevykh zadachakh dlya lineinogo funktsionalno-differentsialnogo uravneniya vtorogo poryadka”, Izv. vuzov. Matematika, 1999, no. 2, 3–11 | MR | Zbl
[13] Labovskii S. M., “O sokhranenii znaka vronskiana fundamentalnoi sistemy, funktsii Koshi i funktsii Grina dvukhtochechnoi kraevoi zadachi dlya uravneniya s zapazdyvayuschim argumentom”, Differents. uravneniya, 11:10 (1975), 1780–1789 | MR
[14] Kantorovich L. V., Vulikh B. Z., Pinsker A. G., Funktsionalnyi analiz v poluuporyadochennykh prostranstvakh, Gostekhizdat, M.–L., 1950, 548 pp. | Zbl
[15] Maksimov V. P., Rakhmatullina L. F., “Lineinoe funktsionalno-differentsialnoe uravnenie, razreshennoe otnositelno proizvodnoi”, Differents. uravneniya, 9:12 (1973), 2231–2240 | MR | Zbl
[16] Azbelev N. V., Rakhmatullina L. F., “Ob otsenke spektralnogo radiusa lineinogo operatora v prostranstve nepreryvnykh funktsii”, Izv. vuzov. Matematika, 1996, no. 11, 23–28 | MR | Zbl