Geodesic
Method of oscillation and spectral problem for four-order differential operator with self-similar weight
Algebra i analiz, Tome 27 (2015) no. 2, pp. 83-95.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{AA_2015_27_2_a3,
     author = {A. A. Vladimirov},
     title = {Method of oscillation and spectral problem for four-order differential operator with self-similar weight},
     journal = {Algebra i analiz},
     pages = {83--95},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2015_27_2_a3/}
}
TY  - JOUR
AU  - A. A. Vladimirov
TI  - Method of oscillation and spectral problem for four-order differential operator with self-similar weight
JO  - Algebra i analiz
PY  - 2015
SP  - 83
EP  - 95
VL  - 27
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2015_27_2_a3/
LA  - ru
ID  - AA_2015_27_2_a3
ER  - 
%0 Journal Article
%A A. A. Vladimirov
%T Method of oscillation and spectral problem for four-order differential operator with self-similar weight
%J Algebra i analiz
%D 2015
%P 83-95
%V 27
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2015_27_2_a3/
%G ru
%F AA_2015_27_2_a3
A. A. Vladimirov. Method of oscillation and spectral problem for four-order differential operator with self-similar weight. Algebra i analiz, Tome 27 (2015) no. 2, pp. 83-95. http://geodesic.mathdoc.fr/item/AA_2015_27_2_a3/

[1] Vladimirov A. A., Sheipak I. A., “O zadache Neimana dlya uravneniya Shturma–Liuvillya s samopodobnym vesom kantorovskogo tipa”, Funkts. anal. i ego pril., 47:4 (2013), 18–29 | DOI | MR | Zbl

[2] Rofe-Beketov F. S., Kholkin A. M., Spektralnyi analiz differentsialnykh operatorov. Svyaz spektralnykh i ostsillyatsionnykh svoistv, Priazov. gos. tekhn. un-t, Mariupol, 2001

[3] Gantmakher F. R., Krein M. G., Ostsillyatsionnye matritsy i yadra i malye kolebaniya mekhanicheskikh sistem, GITTL, M.–L., 1950

[4] Leighton W., Nehari Z., “On the oscillation of solutions of self-adjoint linear differential equations of the fourth order”, Trans. Amer. Math. Soc., 89 (1958), 325–377 | DOI | MR

[5] Nazarov A. I., “Logarifmicheskaya asimptotika malykh uklonenii dlya nekotorykh gaussovskikh protsessov v $L_2$-norme otnositelno samopodobnoi mery”, Zap. nauch. semin. POMI, 311, 2004, 190–213 | MR | Zbl

[6] Vladimirov A. A., “O skhodimosti posledovatelnostei obyknovennykh differentsialnykh operatorov”, Mat. zametki, 75:6 (2004), 941–943 | DOI | MR | Zbl

[7] Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969 | MR